标题： 加权Morrey空间的嵌入 显示英文标题

标题： Embeddings of Weighted Morrey Spaces

摘要： 在本硕士论文中，我们回顾了经典Morrey空间已建立的定义和基本性质，试图将已知事实扩展到它们的加权形式。 为此，我们将回顾Muckenhoupt权重的性质，这些性质将用于推导加权Morrey空间的进一步性质。 我们还将展示Hardy-Littlewood极大算子在加权Morrey空间上的有界性。 在整个论文中，我们将研究示例权重，并展示在哪些情况下配备这些权重的Morrey空间彼此之间是嵌入的。 显示英文摘要

摘要： In this master thesis we recall already established definitions and basic properties of classical Morrey spaces in an attempt to expand known facts to their weighted counterparts. To do so, we will recall properties of Muckenhoupt weights, which we will use to derive further properties of weighted Morrey spaces. We will also show the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces. Throughout this thesis we will have a look at example weights and show in which case Morrey spaces equipped with these weights are embedded in each other.