๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Operator-valued fourier multipliers on multi-dimensional hardy spaces

โœ Scribed by Shangquan Bu

Publisher
Coastal and Estuarine Research Federation
Year
2011
Tongue
English
Weight
202 KB
Volume
32
Category
Article
ISSN
1860-6261

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A note on operator-valued Fourier multip
A note on operator-valued Fourier multipliers on Besov spaces
โœ Shangquan Bu; Jin-Myong Kim ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB ๐Ÿ‘ 1 views

## Abstract Let __X__ be a Banach space. We show that each __m__ : โ„ \ {0} โ†’ __L__ (__X__ ) satisfying the Mikhlin condition sup~__x__ โ‰ 0~(โ€–__m__ (__x__ )โ€– + โ€–__xm__ โ€ฒ(__x__ )โ€–) < โˆž defines a Fourier multiplier on __B__ ^__s__^ ~__p,q__~ (โ„; __X__ ) if and only if 1 < __p__ < โˆž and __X__ is isomorp

Fourier multipliers on power-weighted Ha
Fourier multipliers on power-weighted Hardy spaces
โœ T. S. Quek ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 213 KB ๐Ÿ‘ 1 views

## Abstract Using Herz spaces, we obtain a sufficient condition for a bounded measurable function on โ„^__n__^ to be a Fourier multiplier on __H^p^~ฮฑ~__ (โ„^__n__^ ) for 0 < __p__ < 1 and โ€“__n__ < ฮฑ โ‰ค 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein an

Operatorโ€“valued Fourier multiplier theor
Operatorโ€“valued Fourier multiplier theorems on Besov spaces
โœ Maria Girardi; Lutz Weis ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 265 KB ๐Ÿ‘ 1 views

## Abstract Presented is a general Fourier multiplier theorem for operatorโ€“valued multiplier functions on vectorโ€“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 cov