Extension and restriction of holomorphic functions

DOI10.5802/aif.1592zbMath0881.32005OpenAlexW2317257727MaRDI QIDQ1369882

Klas Diederich, Emmanuel Mazzilli

Publication date: 20 October 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_4_1079_0

zbMATH Keywords

weighted Bergman spacesextension of holomorphic functions\(A^ p\)-spacespseudoellipsoids

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10) Pseudoconvex domains (32T99)

Related Items

Extension and restriction of holomorphic functions on convex finite type domains ⋮ Gain of regularity in extension problem on convex domains ⋮ Restriction of holomorphic functions on finite type domains in \({\mathbb{C}^{2}}\) ⋮ Weights of holomorphic extension and restriction ⋮ Restriction of Hardy space to linear subvarieties ⋮ Extension from linear subvarieties for the Bergman scale of spaces on convex domains

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
• Geometric and analytic boundary invariants on pseudoconvex domains. Comparison results
• The Bergman kernel on uniformly extendable pseudoconvex domains
• On the extension of L 2 holomorphic functions. II
• Henkin-Ramirez kernels with weight factors
• Pseudoconvex domains with real-analytic boundary
• On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights
• Effective bounds for very ample line bundles
• Extension of holomorphic L²-functions with weighted growth conditions
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids
• CONTINUATION OF BOUNDED HOLOMORPHIC FUNCTIONS FROM SUBMANIFOLDS IN GENERAL POSITION TO STRICTLY PSEUDOCONVEX DOMAINS
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