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Singular integrals on Besov spaces
Author(s) -
Hytönen Tuomas,
Weis Lutz
Publication year - 2006
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.200310379
Subject(s) - mathematics , besov space , singular integral , pure mathematics , kernel (algebra) , type (biology) , singular integral operators , convolution (computer science) , operator (biology) , mathematical analysis , interpolation space , functional analysis , integral equation , ecology , biochemistry , chemistry , repressor , machine learning , biology , artificial neural network , computer science , transcription factor , gene
The boundedness of singular convolution operators f ↦ k ∗ f is studied on Besov spaces of vector‐valued functions, the kernel k taking values in ℒ( X , Y ). The main result is a Hörmander‐type theorem giving sufficient conditions for the boundedness of such an operator on these spaces. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)