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On the behaviors of sublinear operators with rough kernel generated by Calderón-Zygmund operators both on weighted Morrey and generalized weighted Morrey spaces

Ferit Gürbüz

Abstract



The aim of this paper is to get the boundedness of sublinear operators with rough kernel generated by Calderón-Zygmund operators both on weighted Morrey and generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively. Also, Calder´on-Zygmund(C-Z) singular integral operator with rough kernel and a related Hardy-Littlewood(H-L) maximal operator with
rough kernel which satisfy the conditions of our main result can be considered as some examples.

Keywords


Sublinear operator, Calder´on-Zygmund operator, Hardy-Littlewood maximal operator, rough kernel, weighted Morrey space, generalized weighted Morrey space, Ap weights.

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