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).

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Main Author: Vagif S. Guliyev
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/164029
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author Vagif S. Guliyev
author_facet Vagif S. Guliyev
author_sort Vagif S. Guliyev
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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).
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institution Kabale University
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publishDate 2009-01-01
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series Journal of Function Spaces and Applications
spelling doaj-art-0c3820e7c206496ebf8fd40c358d78e22025-08-20T03:54:19ZengWileyJournal 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
spellingShingle Vagif S. Guliyev
Two-weight inequalities for singular integral operators satisfying a variant of Hörmander's condition
Journal of Function Spaces and Applications
title 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_short 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 hormander s condition
url http://dx.doi.org/10.1155/2009/164029
work_keys_str_mv AT vagifsguliyev twoweightinequalitiesforsingularintegraloperatorssatisfyingavariantofhormanderscondition