Embeddings of Weighted Morrey Spaces

Abstract: 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.