2008•Doklady MathematicsRequires access

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

Victor I. Burenkov, Vagif Sabir ogly Guliev, Tamara V. Tararykova, A. Serbetci

Abstract

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

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Key concepts: Mathematics, Singular integral operators, Type (biology), Mathematical analysis, Pure mathematics, Singular integral, Integral equation, Ecology