Sublinear operators in generalized weighted Morrey spaces

被引：0
|
作者：
V. Kokilashvili
A. Meskhi
H. Rafeiro
机构：
[1] Javakhishvili Tbilisi State University,Razmadze Mathematical Institute
[2] Pontificia Universidad Javeriana,undefined
来源：
Doklady Mathematics | 2016年 / 94卷
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摘要：
Generalized weighted Morrey spaces defined on spaces of homogeneous type are introduced by using weight functions in the Muckenhoupt class. Theorems on the boundedness of a large class of sublinear operators on these spaces are presented. The classes of sublinear operators under consideration contain a whole series of important operators of harmonic analysis, such as, e.g., maximal functions, singular and fractional integrals, Bochner–Riesz means, and so on.
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页码：558 / 560
页数：2
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