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Some Estimates for Generalized Commutators of Rough Fractional Maximal and Integral Operators on Generalized Weighted Morrey Spaces

  Published:2016-11-11
 Printed: Mar 2017
  • Ferit Gürbüz,
    Ankara University, Faculty of Science, Department of Mathematics, Tandoğan 06100, Ankara, Turkey
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Abstract

In this paper, we establish $BMO$ estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces, respectively.
Keywords: fractional integral operator, fractional maximal operator, rough kernel, generalized commutator, $A(p, q)$ weight, generalized weighted Morrey space fractional integral operator, fractional maximal operator, rough kernel, generalized commutator, $A(p, q)$ weight, generalized weighted Morrey space
MSC Classifications: 42B20, 42B25 show english descriptions Singular and oscillatory integrals (Calderon-Zygmund, etc.)
Maximal functions, Littlewood-Paley theory
42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)
42B25 - Maximal functions, Littlewood-Paley theory
 

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