English

Embeddings of Weighted Morrey Spaces

Functional Analysis 2025-08-06 v1 Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.2508.03387,
  title  = {Embeddings of Weighted Morrey Spaces},
  author = {Marcus Gerhold},
  journal= {arXiv preprint arXiv:2508.03387},
  year   = {2025}
}

Comments

Master Thesis written under supervision of Prof. Dr. Dorothee Haroske at Friedrich-Schiller University Jena in 2013

R2 v1 2026-07-01T04:35:04.716Z