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Generalized Bessel potentials on Lipschitz type spaces
Author(s) -
Iaffei Bibiana
Publication year - 2005
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/mana.200310250
Subject(s) - mathematics , bessel function , lipschitz continuity , pure mathematics , operator (biology) , kernel (algebra) , type (biology) , power (physics) , mathematical analysis , ecology , biochemistry , chemistry , physics , repressor , quantum mechanics , biology , transcription factor , gene
We introduce generalizations of Bessel potentials by considering operators of the form φ [( I – Δ) –½ ] where the functions φ extend the classical power case. The kernel of such an operator is subordinate to a growth function η . We explore conditions on η in such a way that these operators become isomorphisms between generalized Lipschitz spaces. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)