Boundedness of commutators generated by m-th Calderón-Zygmund type singular integrals and local Campanato functions on generalized local Morrey spaces

2015/06/10 by Huixia Mo, Mo, Huixia, Hongyang Xue +1
Mathematics · #42B20 #42B25 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42B20 #msc:42B25

paper · pdf · doi:10.48550/arxiv.1506.03187

arxiv created 2015/11/16 · arxiv updated 2015/11/17

Abstract

Let T_m be the m-th Calderón-Zygmund type singular integral. In the paper, we consider the boundedness of T_m on the generalized product local Morrey spaces LM_p1,φ1^\x₀\× LM_p2,φ2^\x₀\×…× LM_pm,φm^\x₀\. And, the boundedness of the commutators of T_m with local Campanato functions is obtained, also.

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