Sharp bounds for certain m-linear integral operators on p-adic function spaces
Filomat, Tome 36 (2022) no. 3, p. 801

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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
DOI : 10.2298/FIL2203801B
Classification : 42B35, 11F85, 47A63, 47G10
Keywords: m-linear integral operator, Hilbert operator, Hardy operator, Hardy-Littlewood-Pólya operator, p-adic function space
Tserendorj Batbold; Yoshihiro Sawano; Ganbaatar Tumendemberel. Sharp bounds for certain m-linear integral operators on p-adic function spaces. Filomat, Tome 36 (2022) no. 3, p. 801 . doi: 10.2298/FIL2203801B
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     title = {Sharp bounds for certain m-linear integral operators on p-adic function spaces},
     journal = {Filomat},
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     year = {2022},
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     doi = {10.2298/FIL2203801B},
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