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Singular integrals on Besov spaces

✍ Scribed by Tuomas Hytönen; Lutz Weis

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
262 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The boundedness of singular convolution operators f ↦ k ∗︁ f is studied on Besov spaces of vector‐valued functions, the kernel k taking values in ℒ︁(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)

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