Complex geodesics, their boundary regularity, and a Hardy-Littlewood-type lemma

DOI10.5186/aasfm.2016.4116zbMath1337.32023arXiv1508.06955OpenAlexW1929823410WikidataQ124838321 ScholiaQ124838321MaRDI QIDQ2790820

Gautam Bharali

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06955

zbMATH Keywords

complex geodesicsKobayashi metricboundary regularityconvex domains in \(\mathbb C\)

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Boundary regularity of mappings in several complex variables (32H40)

Related Items

Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains ⋮ On the continuous extension of Kobayashi isometries ⋮ Localization of the Kobayashi metric and applications ⋮ Characterizing domains by the limit set of their automorphism group ⋮ Goldilocks domains, a weak notion of visibility, and applications ⋮ Two boundary rigidity results for holomorphic maps

Cites Work

• Universal potential estimates
• On supnorm estimates for \(\bar \partial\) on infinite type convex domains in \(\mathbb C^{2}\)
• The Bergman and Szegő kernels near points of infinite type
• Asymptotic behavior of the Kobayashi metric in the normal direction
• Boundary invariants of pseudoconvex domains
• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Complex Geodesics and Iterates of Holomorphic Maps on Convex Domains in C n
• Distortion theorems for holomorphic maps between convex domains in ⁿ

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