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Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces

Burenkov, Victor, Guliev, V. S., Tararykova, Tamara and Serbetci, A. 2008. Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces. Doklady Mathematics 78 (2) , pp. 651-654. 10.1134/S1064562408050025

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Abstract

This paper considers the boundedness of Calderon– Zygmund singular integral operators in local and global Morrey-type spaces. We formulate sufficient conditions for the boundedness of Calderon-Zygmund singular integral operators for all admissible parameter values. In the case of local Morrey-type spaces for a certain range of parameters, these sufficient conditions are also necessary for genuine Calderon–Zygmund singular integral operators.

Item Type: Article
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: SP MAIK Nauka/Interperiodica
ISSN: 1064-5624
Last Modified: 25 Dec 2017 21:19
URI: http://orca-mwe.cf.ac.uk/id/eprint/84905

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