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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2022 Volume 213, Number 11, Pages 118–142 (Mi sm9639)

On holomorphic mappings of strictly pseudoconvex domains

A. B. Sukhovab

a Laboratoire Paul Painlevé, Université de Lille, Villeneuve d'Ascq, France
b Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa, Russia

Abstract: We study the boundary regularity of proper holomorphic mappings between strictly pseudoconvex domains with boundaries of class $C^2$. In the second part of the paper we establish an extension of the Wong-Rosay theorem to piecewise smooth strictly pseudoconvex domains.
Bibliography: 37 titles.

Keywords: strictly pseudoconvex domain, proper holomorphic mapping, boundary regularity, complex disc, biholomorphic automorphism, Kobayashi metric.

MSC: 32H02

Received: 11.07.2021 and 03.01.2022

DOI: 10.4213/sm9639


 English version:
Sbornik: Mathematics, 2022, 213:11, 1597–1619

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© Steklov Math. Inst. of RAS, 2024