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Boundedness of commutators of multilinear fractional integrals on generalized Morrey spaces. (Chinese. English summary) Zbl 1313.42062

Summary: A discussion is presented about the boundedness of commutators generated by multilinear fractional integral operators and Lipschitz functions on generalized Morrey spaces. By the methods of studying decomposition of functions, we get that the multilinear fractional integral commutators \(I^{\Sigma b}_{\alpha, m}\) are bounded on the generalized Morrey spaces.

MSC:

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