WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR-INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, vol.77, no.1, pp.37-55, 1994 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 77 Issue: 1
- Publication Date: 1994
- Doi Number: 10.1070/sm1994v077n01abeh003428
- Journal Name: RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.37-55
- Akdeniz University Affiliated: Yes
Abstract
Sufficient conditions on weights are found that ensure that a multidimensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted L(p)-space into another. It is shown that in some cases the conditions are sharp.