Sharp bounds for certain m-linear integral operators on p-adic function spaces | Zendy

Tserendorj Batbold | Zendy; Yoshihiro Sawano | Zendy; Ganbaatar Tumendemberel | Zendy

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Sharp bounds for certain m-linear integral operators on p-adic function spaces

Author(s) -

Tserendorj Batbold,

Yoshihiro Sawano,

Ganbaatar Tumendemberel

Publication year - 2022

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2203801b

Subject(s) - mathematics , lp space , homogeneous , pure mathematics , lebesgue integration , kernel (algebra) , singular integral operators , operator (biology) , standard probability space , mathematical analysis , operator theory , fourier integral operator , banach space , combinatorics , biochemistry , chemistry , repressor , transcription factor , gene

In this paper, we establish necessary and sufficient conditions for boundedness of m-linear p-adic integral operators with general homogeneous kernel on p-adic Lebesgue spaces and p-adic Morrey spaces, respectively. In each case, we obtain the corresponding operator norms. Also, we deal with some particular examples and compare them with the previously known from the literature.

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