## 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)
Poisson integrals and singular weights
โ Scribed by Charles P. Slavin
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 636 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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
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
## Abstract The boundedness of singular convolution operators __f__ โฆ __k__ โ๏ธ __f__ is studied on Besov spaces of vectorโvalued functions, the kernel __k__ taking values in โ๏ธ(__X__ , __Y__ ). The main result is a Hรถrmanderโtype theorem giving sufficient conditions for the boundedness of such an