In this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries.
Citation: Yanlong Shi, Xiangxing Tao. Rough fractional integral and its multilinear commutators on $ p $-adic generalized Morrey spaces[J]. AIMS Mathematics, 2023, 8(7): 17012-17026. doi: 10.3934/math.2023868
In this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries.
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Yanlong Shi, Xiangxing Tao. Rough fractional integral and its multilinear commutators on $ p $-adic generalized Morrey spaces[J]. AIMS Mathematics, 2023, 8(7): 17012-17026. doi: 10.3934/math.2023868
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