This is an announcement for the paper "General Hormander and Mikhlin conditions for multipliers of Besov spaces" by Rishad Shahmurov.

Abstract: 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.

Archive classification: math.FA math.CA

Mathematics Subject Classification: 34G10, 35J25, 35J70

Remarks: 16

The source file(s), FMTWeightedB.tex: 57462 bytes, is(are) stored in gzipped form as 0811.1350.gz with size 14kb. The corresponding postcript file has gzipped size 101kb.

Submitted from: shahmurov@hotmail.com

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http://front.math.ucdavis.edu/0811.1350

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http://arXiv.org/abs/0811.1350

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