Boundedness of the Bergman type operators on mixed norm spaces

Yongmin Liu
2002 Proceedings of the American Mathematical Society  
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 C n are given, and this is used to solve Gleason's problem for the mixed norm spaces Hp,q(ϕ) (0 < p < 1, 1 < q < ∞).
doi:10.1090/s0002-9939-02-06332-3 fatcat:t7pcv2xf7na5vimczonhkjvlnu