Premium
Rearrangements of Functions in Besov Spaces
Author(s) -
Cianchi Andrea
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200110)230:1<19::aid-mana19>3.0.co;2-d
Subject(s) - mathematics , besov space , pure mathematics , order (exchange) , type (biology) , operator (biology) , mathematical analysis , interpolation space , functional analysis , ecology , biochemistry , chemistry , finance , repressor , biology , transcription factor , economics , gene
A one‐dimensional Pólya‐Szegö type principle is proved for fractional order derivatives. As a consequence, the boundedness of the decreasing rearrangement operator is established in Besov spaces $B^\alpha_{p,q}$ (0, l ) for α∈ (0,1+1/ p ).