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Operator–valued Fourier multiplier theorems on Besov spaces

✍ Scribed by Maria Girardi; Lutz Weis

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
265 KB
Volume
251
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Presented is a general Fourier multiplier theorem for operator–valued multiplier functions on vector–valued Besov spaces where the required smoothness of the multiplier functions depends on the geometry of the underlying Banach space (specifically, its Fourier type). The main result covers many classical multiplier conditions, such as Mihlin and Hörmander conditions.

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