Commutator of Riesz potential in p-adic generalized Morrey spaces

Abstract

Suppose that {{\displaystyle I}}_p^{\alpha } is the p-adic Riesz potential. In this paper, we established the boundedness of {{\displaystyle I}}_p^{\alpha } on the p-adic generalized Morrey spaces, as well as the boundedness of the commutators generated by the p-adic Riesz potential {{\displaystyle I}}_p^{\alpha } and p-adic generalized Campanato functions.

Key words： p-Adic field; p-adic Riesz potential; commutator; p-adic generalized Morrey function; p-adic generalized Campanato function

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