Rough fractional integral and its multilinear commutators on $ p $-adic generalized Morrey spaces

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. More...

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Veröffentlicht in:AIMS mathematics 2023-01, Vol.8 (7), p.17012-17026
Hauptverfasser: Shi, Yanlong, Tao, Xiangxing
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023868