๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Weighted Morrey spaces and a singular integral operator

โœ Scribed by Yasuo Komori; Satoru Shirai


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
147 KB
Volume
282
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

โœฆ Synopsis


Abstract

In this paper, we shall introduce a weighted Morrey space and study the several properties of classical operatorsin harmonic analysis on this space (ยฉ 2009 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)


๐Ÿ“œ SIMILAR VOLUMES


Singular integral operator, Hardyโ€“Morrey
โœ Henggeng Wang; Houyu Jia ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 344 KB

After establishing the molecule characterization of the Hardy-Morrey space, we prove the boundedness of the singular integral operator and the Riesz potential. We also obtain the Hardy-Morrey space estimates for multilinear operators satisfying certain vanishing moments. As an application, we study

Weighted singular integral operators in
โœ Juan Bory Reyes; Ricardo Abreu Blaya ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 120 KB

## Abstract We consider the Cauchyโ€type integral and singular integral operator having a weighted Cauchy kernel, both over a domain bounded by an nโ€dimensional surface in โ„^__n__+1^, __n__โฉพ2. The aim of this paper is to study the behaviour of the weighted Cauchy singular integral operators near the

Some characterizations for weighted Morr
โœ Lin Tang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 156 KB

## Abstract In this paper, we establish some new characterizations for weighted Morreyโ€Campanato spaces by using the convolution \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\varphi \_{t\_B}\*f$\end{document} to replace the mean value __f~B~__ of a function __f__ in

Weighted Norm Inequalities for Some Sing
โœ Takahiko Nakazi; Takanori Yamamoto ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights. 1997 Acad