Open AccessSharp 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.