Complex Variables

Authors and titles for May 2025

[1] arXiv:2505.00801 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: $L^2$ extension of holomorphic functions and log canonical places Show Chinese title

Title: 全纯函数的$L^2$ 延拓及对数典范位点

Dano Kim, Xu Wang

Comments: Comments are welcome!

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG)

[2] arXiv:2505.01274 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Determinantal representations in umbral calculus Show Chinese title

Title: 阴影演算中的行列式表示

Julien Grivaux

Subjects: Complex Variables (math.CV)

[3] arXiv:2505.01765 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On $L$-special domains with algebraic boundaries Show Chinese title

Title: 关于具有代数边界的$L$特殊域

Mikhail Borovikov

Subjects: Complex Variables (math.CV) ; Analysis of PDEs (math.AP)

[4] arXiv:2505.01910 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Pre-Schwarzian norm estimation for functions in the Ma-Minda-type starlike and convex classes Show Chinese title

Title: 预Schwarzian范数估计对于Ma-Minda型星状和凸函数类中的函数

Raju Biswas

Comments: 18 Pages, Latex v1. arXiv admin note: substantial text overlap with arXiv:2504.19132

Subjects: Complex Variables (math.CV)

[5] arXiv:2505.02697 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Uniformization of metric surfaces: A survey Show Chinese title

Title: 度量曲面的规范化：综述

Dimitrios Ntalampekos

Comments: 37 pages, 8 figures

Subjects: Complex Variables (math.CV) ; Geometric Topology (math.GT) ; Metric Geometry (math.MG)

[6] arXiv:2505.03630 (cross-list from math.CV) [cn-pdf, pdf, other]

Title: On Loewner energy and curve composition Show Chinese title

Title: 关于Loewner能量和曲线组合

Tim Mesikepp, Yaosong Yang

Comments: 73 pages, 6 figures. Version 2 streamlines and generalizes some content and adds an additional example

Subjects: Complex Variables (math.CV)

[7] arXiv:2505.03967 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Chebyshev polynomials on equipotential curves Show Chinese title

Title: 等位曲线上的切比雪夫多项式

Erwin Miña-Díaz, Olof Rubin

Subjects: Complex Variables (math.CV)

[8] arXiv:2505.04043 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Hausdorff operators on weighted Bergman and Hardy spaces Show Chinese title

Title: 赫斯多夫算子在加权柏格曼和哈代空间上

Ha Duy Hung, Luong Dang Ky

Comments: 24 pages, J. Math. Anal. Appl. (2025), You can (before July 5, 2025) download the paper from https://www.sciencedirect.com/science/article/pii/S0022247X25004421?dgcid=author

Subjects: Complex Variables (math.CV) ; Classical Analysis and ODEs (math.CA)

[9] arXiv:2505.04183 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Exponential mixing of all orders on Kähler manifolds: (quasi-)plurisubharmonic observables Show Chinese title

Title: 所有阶次的指数混合在凯勒流形上：(准)全纯次调和可观测性

Marco Vergamini, Hao Wu

Subjects: Complex Variables (math.CV) ; Dynamical Systems (math.DS)

[10] arXiv:2505.04319 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions Show Chinese title

Title: 凸调和函数的解析部分的增长与偏差的精确界

María J. Martín

Subjects: Complex Variables (math.CV)

[11] arXiv:2505.04483 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Function theory on the annulus in the dp-norm Show Chinese title

Title: 在dp-范数下的环形区域上的函数理论

Jim Agler, Zinaida Lykova, N.J. Young

Comments: 29 pages. This version is a slight modification of the original paper following a referee report. It will appear in the Journal "Integral Equations and Operator Theory"

Subjects: Complex Variables (math.CV)

[12] arXiv:2505.04593 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations Show Chinese title

Title: 双复数 Hardy 类的高阶 Vekua 方程的解

William L. Blair

Comments: Changes from last version: 1. Many typographical and notational errors were corrected. 2. The definition of the integral operator in Theorem 2.17 was corrected. 3. Aspects of the referenced background material have been condensed and/or clarified. Other minor improvements throughout. The results of all new theorems are unchanged outside of corrections necessary due to typographical errors

Subjects: Complex Variables (math.CV) ; Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[13] arXiv:2505.05028 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Hardy spaces of harmonic quasiconformal mappings and Baernstein's theorem Show Chinese title

Title: 调和拟共形映射的 Hardy 空间与 Baernstein 定理

Suman Das, Jie Huang, Antti Rasila

Comments: 12 pages

Subjects: Complex Variables (math.CV)

[14] arXiv:2505.05746 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Caratheodory sets in the tridisk Show Chinese title

Title: Caratheodory集合在三圆盘上的应用

Lukasz Kosinski, John E. McCarthy

Subjects: Complex Variables (math.CV)

[15] arXiv:2505.05774 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: An estimate of the Bergman distance on Riemann surfaces Show Chinese title

Title: 黎曼曲面上的Bergman距离估计

Bo-Yong Chen, Yuanpu Xiong

Subjects: Complex Variables (math.CV)

[16] arXiv:2505.05938 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On the sharp $L^2$-estimates of Skoda division theorem Show Chinese title

Title: 关于Skoda除法定理的尖锐$L^2$-估计

Masakazu Takakura

Comments: 20 pages

Subjects: Complex Variables (math.CV)

[17] arXiv:2505.06539 (cross-list from math.CV) [cn-pdf, pdf, other]

Title: A Note On Generalized $L_p$ Inequalities for the polar derivative of a polynomial Show Chinese title

Title: 关于多项式极坐标导数的广义$L_p$不等式的注记

N. A. Rather, Danish Rashid Bhat, Tanveer Bhat

Comments: There are some errors in page one

Subjects: Complex Variables (math.CV)

[18] arXiv:2505.06555 (cross-list from math.CV) [cn-pdf, pdf, other]

Title: New Taylor and Laurent series of axially harmonic, Fueter regular and polyanalytic functions Show Chinese title

Title: 新的泰勒和洛朗级数展开：轴向调和函数、Fueter正则函数及多解析函数

Fabrizio Colombo, Antonino De Martino, Irene Sabadini

Subjects: Complex Variables (math.CV)

[19] arXiv:2505.06577 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Versal deformation of transversely holomorphic flows on the boundary of strongly convex domains of $\mathbb C^n$ Show Chinese title

Title: 强凸域 $\mathbb C^n$ 边界上横向全纯流的 Versal 变形

Mounib Abouanass

Comments: 21 pages

Subjects: Complex Variables (math.CV) ; Algebraic Topology (math.AT)

[20] arXiv:2505.06812 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Root functions of a meromorphic matrix function and applications Show Chinese title

Title: 亚纯矩阵函数的根函数及其应用

Muhamed Borogovac

Comments: 20 pages

Subjects: Complex Variables (math.CV) ; Functional Analysis (math.FA)

[21] arXiv:2505.07006 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: A structure theorem along fibers of extreme points of the momentum polytope Show Chinese title

Title: 沿动量多胞形极点纤维的结构定理

Peter Heinzner, Christian Zöller

Subjects: Complex Variables (math.CV) ; Symplectic Geometry (math.SG)

[22] arXiv:2505.07048 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Spaceability of special families of null sequences of holomorphic functions Show Chinese title

Title: 全纯函数零序列的特殊族的空间性

L. Bernal-González, M.C. Calderón-Moreno, J. López-Salazar, J.A. Prado-Bassas

Subjects: Complex Variables (math.CV) ; Functional Analysis (math.FA)

[23] arXiv:2505.07120 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Asymptotic Mass Distribution of Random Holomorphic Sections Show Chinese title

Title: 随机全纯截面的渐近质量分布

Turgay Bayraktar, Afrim Bojnik

Comments: 18 pages

Subjects: Complex Variables (math.CV) ; Differential Geometry (math.DG) ; Probability (math.PR)

[24] arXiv:2505.07504 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Revisit Of Meromorphic Convex Functions Show Chinese title

Title: 亚纯凸函数的再探讨

Vibhuti Arora, Vinayak M

Subjects: Complex Variables (math.CV)

[25] arXiv:2505.08661 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Composition Operators on $\bf H^{p,q,s}(B_{n})$ of $\bf \mathbb{C}^{n}$ Show Chinese title

Title: 复合算子在$\bf H^{p,q,s}(B_{n})$上的$\bf \mathbb{C}^{n}$

H. Chen, X. Zhang

Subjects: Complex Variables (math.CV)

[26] arXiv:2505.09143 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Tumura-Clunie Differential Equations with Applications to Linear ODE's Show Chinese title

Title: 多木良-克鲁尼微分方程及其在线性常微分方程中的应用

Mohamed Amine Zemirni, Zinelaabidine Latreuch

Comments: 13 pages

Subjects: Complex Variables (math.CV)

[27] arXiv:2505.09301 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Quasibounded solutions to the complex Monge-Ampère equation Show Chinese title

Title: 拟有界解的复Monge-Ampère方程

Mårten Nilsson

Comments: 17 pages

Subjects: Complex Variables (math.CV)

[28] arXiv:2505.09444 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes defined by sequences with shifted moments Show Chinese title

Title: Carleman超全纯类中渐近Borel映射的满射性，该类由具有移位矩的序列定义

Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz, Gerhard Schindl

Comments: 25 pages

Subjects: Complex Variables (math.CV) ; Functional Analysis (math.FA)

[29] arXiv:2505.10891 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Toeplitz Determinants for Inverse Functions and their Logarithmic Coefficients Associated with Ma-Minda Classes Show Chinese title

Title: 关于Ma-Minda类的反函数及其对数系数的Toeplitz行列式

Surya Giri

Subjects: Complex Variables (math.CV)

[30] arXiv:2505.11662 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Jets of flat partial connections Show Chinese title

Title: 平坦偏微分连接的喷束

Gabriel Fazoli

Subjects: Complex Variables (math.CV) ; Differential Geometry (math.DG)

[31] arXiv:2505.11826 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On close-to-convex functions Show Chinese title

Title: 关于近似凸函数

Md Nurezzaman

Subjects: Complex Variables (math.CV)

[32] arXiv:2505.12241 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Higher Rank Bergman Kernels on Compact Riemann Surfaces Show Chinese title

Title: 紧黎曼曲面上的高秩Bergman核

Shin Kim

Comments: Added a minor detail to Appendix A

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG)

[33] arXiv:2505.12420 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On dessins d'enfants with equal supports Show Chinese title

Title: 关于具有相同支集的儿童图画

Fedor Pakovich

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[34] arXiv:2505.12562 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On generalized harmonic quasiconformal Koebe functions Show Chinese title

Title: 关于广义调和拟共形Koebe函数

Zhi-Gang Wang, Jia-Le Qiu, Antti Rasila

Comments: 6 figures,comments are welcome!

Subjects: Complex Variables (math.CV)

[35] arXiv:2505.13014 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Spectral asymptotics of semi-classical Toeplitz operators on Levi non-degenerate CR manifolds Show Chinese title

Title: 半经典托普利茨算子在勒维非退化CR流形上的谱渐近性

Wei-Chuan Shen

Comments: 40 pages. Comments are welcome!

Subjects: Complex Variables (math.CV) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[36] arXiv:2505.13045 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Stabilization of fields of meromorphic functions on neighborhoods of a rational curve Show Chinese title

Title: 可理曲线邻域上亚纯函数场的稳定化

Serge Lvovski

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG)

[37] arXiv:2505.14598 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On the Pre-Schwarzian Norm and Starlikeness of Certain Logharmonic Mappings Show Chinese title

Title: 关于预Schwarzian范数与特定对数调和映射的星形性

Sushil Pandit

Subjects: Complex Variables (math.CV)

[38] arXiv:2505.14873 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Unlikely intersections of codimension one foliations Show Chinese title

Title: unlikely 的交集的一维叶状结构

Gabriel Santos Barbosa, Jorge Vitório Pereira

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG)

[39] arXiv:2505.15079 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Carleson-type embeddings with closed range Show Chinese title

Title: 具有闭合范围的Carleson型嵌入

Konstantin M. Dyakonov

Comments: 13 pages; to appear in Mathematische Zeitschrift

Subjects: Complex Variables (math.CV) ; Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[40] arXiv:2505.15129 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Approximation of biholomorphic maps between Runge domains by holomorphic automorphisms Show Chinese title

Title: Runge区域之间全纯映射的双全纯映射的逼近

Franc Forstneric

Comments: Theorem 1.2 from the previous version was removed due to a gap in the proof

Subjects: Complex Variables (math.CV)

[41] arXiv:2505.15310 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Transcendental meromorphic solutions and the complex Schrödinger equation with delay Show Chinese title

Title: 超越亚纯解与带有延迟的复Schrodinger方程

Tingbin Cao, Risto Korhonen, Wenlong Liu

Comments: 43 pages. This paper has been submitted to Mathematische Zeitschrift on 15th of April, 2025

Subjects: Complex Variables (math.CV)

[42] arXiv:2505.15780 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: A Hermitian metric on hyperbolic complex manifolds Show Chinese title

Title: 双曲复流形上的埃尔米特度量

Debraj Chakrabarti, Prachi Mahajan

Subjects: Complex Variables (math.CV)

[43] arXiv:2505.16949 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On some connections between Kobayashi geometry and pluripotential theory Show Chinese title

Title: 关于Kobayashi几何与全纯势论的一些联系

Gautam Bharali, Rumpa Masanta

Comments: 23 pages; restructured Section 1.2; added a new theorem in Section 1.2; comments welcome!

Subjects: Complex Variables (math.CV) ; Analysis of PDEs (math.AP)

[44] arXiv:2505.17062 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Normality criterion for logharmonic mapping Show Chinese title

Title: 对数调和映射的正规性准则

Molla Basir Ahamed, Sanju Mandal

Comments: 12 pages, 0 figure

Subjects: Complex Variables (math.CV)

[45] arXiv:2505.17157 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Sharp bounds for the growth and distortion of the analytic part of convex K-quasiconformal harmonic mappings Show Chinese title

Title: 凸K-拟共形调和映射的解析部分的增长与偏差的sharp界

Peijin Li, Saminathan Ponnusamy

Comments: 8 pages

Subjects: Complex Variables (math.CV)

[46] arXiv:2505.17693 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: The Levi $q$-core and Property ($P_q$) Show Chinese title

Title: Levi$q$-核与性质 ($P_q$)

Gian Maria Dall'Ara, Samuele Mongodi, John N. Treuer

Subjects: Complex Variables (math.CV)

[47] arXiv:2505.17878 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Generalized Schwarzians and Normal Families Show Chinese title

Title: 广义施瓦茨导数与正规族

Matthias Grätsch

Subjects: Complex Variables (math.CV)

[48] arXiv:2505.18801 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Capacity dimension of the Brjuno set in $\mathbb{C}^n$ Show Chinese title

Title: Brjuno集在$\mathbb{C}^n$中的容量维度

Nurali Akramov, Karim Rakhimov

Subjects: Complex Variables (math.CV)

[49] arXiv:2505.19160 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On certain subclasses of analytic and harmonic mappings Show Chinese title

Title: 关于某些解析和调和映射的子类

Raju Biswas

Comments: 22 pages, 12 Figures

Subjects: Complex Variables (math.CV)

[50] arXiv:2505.19593 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: On quotients of ideals of weighted holomorphic mappings Show Chinese title

Title: 关于加权全纯映射的理想商的研究

Belacel Amar, Bougoutaia Amar, Rueda Pilar

Subjects: Complex Variables (math.CV) ; Functional Analysis (math.FA)