Boundedness of the Bergman type operators on mixed norm spaces

Liu, Yongmin

doi:10.1090/S0002-9939-02-06332-3

Boundedness of the Bergman type operators on mixed norm spaces
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Proc. Amer. Math. Soc. 130 (2002), 2363-2367 Request permission

Abstract:

Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces $L_{p,q}(\varphi )\ (0<p<1, 1<q<\infty )$ of functions on the unit ball of $C^n$ are given, and this is used to solve Gleason’s problem for the mixed norm spaces $H_{p,q}(\varphi )\ (0<p<1,1<q<\infty )$.

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