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Boundedness of commutators on Herz spaces with variable exponent. (English) Zbl 1202.42029

Summary: Our aim in the present paper is to prove the boundedness of vector-valued commutators on Herz spaces with variable exponent. In order to obtain the result, we clarify a relation between variable exponent and BMO norms.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B35 Function spaces arising in harmonic analysis
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