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Generalized Bessel potentials on Lipschitz type spaces

✍ Scribed by Bibiana Iaffei

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
236 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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)

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