The $L^p$-$L^q$ Boundedness and Compactness of Bergman Type Operators
نویسندگان
چکیده
We investigate Bergman type operators on the complex unit ball, which are singular integral induced by modified kernel. consider $L^p$-$L^q$ boundedness and compactness of operators. The results can be viewed as Hardy–Littlewood–Sobolev (HLS) theorem in case ball. also give some sharp norm estimates fact gives upper bounds optimal constants HLS inequality Moreover, a trace formula is given.
منابع مشابه
Boundedness of the Bergman Type Operators on Mixed Norm Spaces
Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces Lp,q(φ) (0 < p < 1, 1 < q <∞) of functions on the unit ball of Cn are given, and this is used to solve Gleason’s problem for the mixed norm spaces Hp,q(φ) (0 < p < 1, 1 < q <∞).
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2022
ISSN: ['1027-5487', '2224-6851']
DOI: https://doi.org/10.11650/tjm/220101