Presentation: Embeddings of Weighted Morrey Spaces

When: May 1, 2014, 10:45-12:30

Where: Zi 2126

Who: Marcus Gerhold


   Morrey Spaces belong to the study of function spaces and are a refinement of the well known Lebesgue Spaces. While there are many facts that are already known, the study of weighted Morrey Spaces is a relatively new topic. We will recall established results and have a look at the class of certain weight functions, called Muckenhoupt Weights. These weight functions will be equipped to Morrey Spaces in an attempt to tackle the question of embedding. We will have a look at easy examples, as well as one main general statement, which can be made, using Hölder's Inequality.