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Boundedness of commutators generated by m-th Calderón-Zygmund type singular integrals and local Campanato functions on generalized local Morrey spaces (1506.03187v2)
Published 10 Jun 2015 in math.FA
Abstract: Let $T_m$ be the $m$-th Calder\'on-Zygmund type singular integral. In the paper, we consider the boundedness of $T_m$ on the generalized product local Morrey spaces $LM_{p_1,\varphi_1}{{x_0}}\times LM_{p_2,\varphi_2}{{x_0}}\times\dots\times LM_{p_m,\varphi_m}{{x_0}}.$ And, the boundedness of the commutators of $T_m$ with local Campanato functions is obtained, also.