论文信息 - Borel images and analytic functions

Borel images and analytic functions

Lusin and Purves characterized those measurable functions that map any Borel set onto a Borel set. In the present note, the theorem of Lusin and Purves is applied to give some criteria to find examples of analytic functions in the unit disk that preserve Borel sets on the boundary of the disk at points where the radial limit exists. In addition, we give a geometric characterization of plane domains whose universal covering map preserves Borel sets. Together with the main results, some open questions are posed.

A. Cantón | A. Granados | C. Pommerenke

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