Weighted Morrey spaces and a singular integral operator
โ 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.
โฆ 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 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
๐ SIMILAR VOLUMES
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
## Abstract We consider the Cauchyโtype integral and singular integral operator having a weighted Cauchy kernel, both over a domain bounded by an nโdimensional 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
## Abstract In this paper, we establish some new characterizations for weighted MorreyโCampanato 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
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