The Radial Lemma of Strauss in the Context of Morrey Spaces
Wen Yuan, Winfried Sickel, Dachun Yang
TL;DR
This paper generalizes Strauss's Radial Lemma to radial functions in Morrey-related smoothness spaces, exploring their smoothness and decay properties.
Contribution
It extends the Radial Lemma to Sobolev-Morrey, Besov-type, and Besov-Morrey spaces, broadening understanding of radial functions in these contexts.
Findings
Generalized Radial Lemma for Morrey-related spaces
Characterized decay properties of radial functions
Analyzed smoothness in Sobolev-Morrey and Besov-Morrey spaces
Abstract
In this paper we consider smoothness and decay properties of radial functions belonging to smoothness spaces related to Morrey spaces (Sobolev-Morrey spaces, Besov-type spaces and Besov-Morrey spaces). Within this framework we prove generalizations of the Radial Lemma of Strauss.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations