Generalized Bessel potentials on Lipschitz type spaces | Zendy

Iaffei Bibiana | Zendy

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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)

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