标题： 任意Békollé-Bonami权的刻划 显示英文标题

标题： Characterizations for arbitrary Békollé-Bonami weights

摘要： 我们精确刻画了单位圆盘中任意权函数下，反向Hölder不等式、Fujii-Wilson条件、Békollé-Bonami $\mathrm{B}_p$ 条件、$\mathrm{B}_\infty$ 条件以及反向Jensen不等式之间的关系。 这是通过引入新的辅助条件实现的，这些条件被证明是必要且充分的。这些辅助条件简单且可检验，并可以理解为有界双曲振荡这一强得多的条件的积分版本，后者之前已在文献中被考虑过。 显示英文摘要

摘要： We precisely characterize the relationships between the reverse H\"older inequality, the Fujii-Wilson condition, the B\'ekoll\'e-Bonami $\mathrm{B}_p$ condition, the $\mathrm{B}_\infty$ condition, and the reverse Jensen inequality, for arbitrary weights in the unit disc. This is achieved by introducing new side conditions that turn out to be necessary and sufficient. The side conditions are simple and testable, and can be interpreted as integral versions of the much stronger condition of bounded hyperbolic oscillation, which has been considered earlier in the literature.