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A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF โ„‚<sup><i>n</i></sup>

A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF โ„‚<sup><i>n</i></sup>

Abstract We obtain a new characterisation for weighted Bergman spaces A p ฮฑ on the unit ball n of โ„‚ n in terms of a double integral of the functions | f ( z ) โˆ’ f ( w )|/| z โˆ’ w | and | f ( z ) โ€ฆ