Department of Mathematics

Prof. Dr. Dorothee Haroske, University of Jena: "Embeddings of Smoothness Morrey spaces on bounded domains"

Apr 26, 2019 from 04:15 PM to 05:15 PM

LMS 4 - Raum 424 - Kleiner Hörsaal

Abstract:

We study embeddings between smoothness Morrey spaces on bounded domains, their continuity and compactness, In the compact case, we characterise their 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.

This is joint work with Leszek Skrzypczak from Poznan.
 

 

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