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Approximation of singular discs for CR extension. (English) Zbl 1301.32026

Summary: We introduce a class of singular discs, modelled on the one introduced by D. Zaitsev, D. Zampieri and the author [J. Anal. Math. 101, 95–121 (2007; Zbl 1154.32014)]. We show that they gain regularity from reparametrization and from taking powers. We set up a Bishop equation to attach these discs to a CR manifold with smooth dependence on parameters. By these tools we get extension of CR functions from wedges endowed with the sector property.

MSC:

32V10 CR functions
32D10 Envelopes of holomorphy

Citations:

Zbl 1154.32014
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Full Text: DOI

References:

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