MONTEL TYPE THEOREM FOR CR MAPPINGS BETWEEN PSEUDO-HERMITIAN CR MANIFOLDS

MONTEL TYPE THEOREM FOR CR MAPPINGS BETWEEN PSEUDO-HERMITIAN CR MANIFOLDS

Montel type theorem for CR mappings between strongly pseudoconvex psuedo-Hermitian CR manifolds satisfying curvature bound conditions is proved. Pre-compactness relies on recently introduced Schwarz lemma for CR mappings between pseudo-Hermitian manifolds. Smoothness of the limit CR map is proved us...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2024, Vol.61 (5), p.1289-1299
1. Verfasser: Hanjin Lee
Format: Artikel
Sprache:kor
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Zusammenfassung:Montel type theorem for CR mappings between strongly pseudoconvex psuedo-Hermitian CR manifolds satisfying curvature bound conditions is proved. Pre-compactness relies on recently introduced Schwarz lemma for CR mappings between pseudo-Hermitian manifolds. Smoothness of the limit CR map is proved using CR and holomorphic extensions of CR functions to higher dimensional q-concave CR manifolds.
ISSN:1015-8634