On the Cauchy transform of the Bergman space

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.

8 pages

Cited by in corpus (2)

• On the Cauchy transform of weighted Bergman spaces
• Solid Cauchy transform on weighted poly-Bergman spaces