Abstract
Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces L p,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 H p,q (φ) (0 < p < 1,1 < q < ∞).
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