Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

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Abstract

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.

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Rough singular integral operator commutator Herz spaces with variable exponents BMO spaces.
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DOI

10.4208/jms.v53n3.20.04

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Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents. (2020). Journal of Mathematical Study, 53(3), 297-315. https://doi.org/10.4208/jms.v53n3.20.04