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math.FA2013
Atomic decomposition of real-variable type for Bergman spaces in the unit ball of
Zeqian Chen, Wei Ouyang
In this paper, we show that every (weighted) Bergman space in the complex ball admits an atomic decomposition of real-variable type for any $0 < p…
math.FA2012
Area integral functions and $H^{\8}$ functional calculus for sectorial operators on Hilbert spaces
Zeqian Chen, Mu Sun
Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This imm…