General Hormander and Mikhlin conditions for multipliers of Besov spaces

2008/11/09 by Rishad Shahmurov, Shahmurov, Rishad
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.0811.1350

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.

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