๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On weighted transplantation and multipliers for Laguerre expansions

โœ Scribed by Krzysztof Stempak; Walter Trebels

Publisher
Springer
Year
1994
Tongue
English
Weight
857 KB
Volume
300
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

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

Multipliers of Laplace transform type fo
Multipliers of Laplace transform type for ultraspherical expansions
โœ Teresa Martinez ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 173 KB

## Abstract We define and investigate the multipliers of Laplace transform type associated to the differential operator __L~ฮป~f__ (__ฮธ__) = โ€“__f__ โ€ณ(__ฮธ__) โ€“ 2__ฮป__ cot __ฮธf__ โ€ฒ(__ฮธ__) + __ฮป__^2^__f__ (__ฮธ__), __ฮป__ > 0. We prove that these operators are bounded in __L^p^__ ((0, __ฯ€__), __dm~ฮป~__)

Relating transplantation and multipliers
Relating transplantation and multipliers for Dunkl and Hankel transforms
โœ Adam Nowak; Krzysztof Stempak ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 125 KB

## Abstract By expressing the Dunkl transform of order __ฮฑ__ of a function __f__ in terms of the Hankel transforms of orders __ฮฑ__ and __ฮฑ__ + 1 of even and odd parts of __f__, respectively, we show that a considerable part of harmonic analysis of the Dunkl transform on the real line may be reduced