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On the Cauchy transform of the Bergman space

Published 19 May 2013 in math.CV | (1305.4386v1)

Abstract: The range of the Bergman space B_2(G) under the Cauchy transform K is described for a large class of domains. For a quasidisk G the relation K(B_2*(G))=B_21(\mathbb C\setminus\bar{G}) is proved.

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