General Hormander and Mikhlin conditions for multipliers of Besov spaces

Details General Hormander and Mikhlin conditions for multipliers of Besov spaces General Hormander and Mikhlin conditions for multipliers of Besov spaces

2008-11-09

arxiv.org/abs/0811.1350v1

Mathematics

Functional Analysis

16

Scientific paper

Here a new condition for the geometry of Banach spaces is introduced and the operator--valued Fourier multiplier theorems in weighted Besov spaces are obtained. Particularly, connections between the geometry of Banach spaces and Hormander-Mikhlin conditions are established. As an application of main results the regularity properties of degenerate elliptic differential operator equations are investigated.

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