Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition

In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander's condition, in the weighted Lebesgue spaces Lp,ω (ℝn).

Bibliographic Details
Main Author: Vagif S. Guliyev
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/164029
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spelling doaj-0c3820e7c206496ebf8fd40c358d78e22020-11-24T23:56:38ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022009-01-0171435910.1155/2009/164029Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's conditionVagif S. Guliyev0Department of Mathematical Analysis, Baku State University, Institute of Mathematics and Mechanics, Baku, AzerbaijanIn this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander's condition, in the weighted Lebesgue spaces Lp,ω (ℝn).http://dx.doi.org/10.1155/2009/164029
collection DOAJ
language English
format Article
sources DOAJ
author Vagif S. Guliyev
spellingShingle Vagif S. Guliyev
Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
Journal of Function Spaces and Applications
author_facet Vagif S. Guliyev
author_sort Vagif S. Guliyev
title Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
title_short Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
title_full Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
title_fullStr Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
title_full_unstemmed Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
title_sort two-weight inequalities for singular integral operators satisfying a variant of hörmander's condition
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2009-01-01
description In this paper, we present some sufficient conditions for the boundedness of convolution operators that their kernel satisfies a certain version of Hörmander's condition, in the weighted Lebesgue spaces Lp,ω (ℝn).
url http://dx.doi.org/10.1155/2009/164029
work_keys_str_mv AT vagifsguliyev twoweightinequalitiesforsingularintegraloperatorssatisfyingavariantofhormanderscondition
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