Symmetrization inequalities in the fractional case and Besov embeddings

We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces.

Bibliographic Details
Author: Martín i Pedret, Joaquim|||0000-0002-7467-787X
Format: article
Publication Date:2008
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:271409
Online Access:https://ddd.uab.cat/record/271409
https://dx.doi.org/urn:doi:10.1016/j.jmaa.2008.02.028
Access Level:Open access
Keyword:Besov spaces
Rearrangement invariant spaces
Sobolev spaces
Symmetrization
Description
Summary:We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces.