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Generalized weighted Morrey spaces and higher order commutators of sublinear operators

V. S. Guliyev<sup>ab

a</sup> Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku, Azerbaijan
^b Department of Mathematics, Ahi Evran University, Kirsehir, Turkey

Abstract: In this paper, we study the boundedness of sublinear operators and their higher order commutators generated by Calderon–Zygmund operators and Riesz potentials on generalized weighted Morrey space.

Keywords and phrases: generalized weighted Morrey spaces, sublinear operators, Calderon–Zygmund operators, Riesz potential, $A_p$ weights, $A_{p,q}$ weights, higher order commutator, BMO.

MSC: 42B20, 42B25, 42B35

Received: 25.05.2012

Language: English

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