Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 39, 2014, 417-442

THE RADIAL LEMMA OF STRAUSS IN THE CONTEXT OF MORREY SPACES

Winfried Sickel, Dachun Yang and Wen Yuan

Friedrich-Schiller-Universität Jena, Mathematisches Institut
Ernst-Abbe-Platz 2, D-07743 Jena, Germany; winfried.sickel 'at' uni-jena.de

Beijing Normal University, School of Mathematical Sciences
Ministry of Education, Laboratory of Mathematics and Complex Systems
Beijing 100875, P.R. China; dcyang 'at' bnu.edu.cn

Beijing Normal University, School of Mathematical Sciences, Ministry of Education
Laboratory of Mathematics and Complex Systems, Beijing 100875, P.R. China
and Friedrich-Schiller-Universität Jena, Mathematisches Institut
Ernst-Abbe-Platz 2, D-07743 Jena, Germany; wenyuan 'at' bnu.edu.cn

Abstract. In this article, the authors 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, some generalizations of the radial lemma of Strauss are obtained.

2010 Mathematics Subject Classification: Primary 46E35; Secondary 42C15, 42B35.

Key words: Sobolev-Morrey space, Besov-type space, Besov-Morrey space, radial function, smoothness, decay.

Reference to this article: W. Sickel, D. Yang and W. Yuan: The radial lemma of Strauss in the context of Morrey spaces. Ann. Acad. Sci. Fenn. Math. 39 (2014), 417-442.

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doi:10.5186/aasfm.2014.3918