Entropy numbers of compact embeddings of Smoothness Morrey spaces on bounded domains

Dorothee D. Haroske; Leszek Skrzypczak

Entropy numbers of compact embeddings of Smoothness Morrey spaces on bounded domains

Functional Analysis 2020-04-22 v2

Authors: Dorothee D. Haroske , Leszek Skrzypczak

Abstract

We study the compact embedding between smoothness Morrey spaces on bounded domains and characterise its entropy numbers. Here we discover a new phenomenon when the difference of smoothness parameters in the source and target spaces is rather small compared with the influence of the fine parameters in the Morrey setting. In view of some partial forerunners this was not to be expected till now. Our argument relies on wavelet decomposition techniques of the function spaces and a careful study of the related sequence space setting.

Keywords

entropy numbers compact embedding smoothness morrey spaces bounded domains wavelet decomposition sequence spaces function spaces

Cite

@article{arxiv.1902.04945,
  title  = {Entropy numbers of compact embeddings of Smoothness Morrey spaces on bounded domains},
  author = {Dorothee D. Haroske and Leszek Skrzypczak},
  journal= {arXiv preprint arXiv:1902.04945},
  year   = {2020}
}

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22 pages

Entropy numbers of compact embeddings of Smoothness Morrey spaces on bounded domains

Abstract

Keywords

Cite

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