On the Cauchy transform of the Bergman space

Sergei Merenkov

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arXiv · 1305.4386

On the Cauchy transform of the Bergman space

Sergei Merenkov

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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_2^1(\mathbb C\setminus\bar{G}) is proved.

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Sergei Merenkov. 2013-05-19. On the Cauchy transform of the Bergman space. https://arxiv.org/abs/1305.4386

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