Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree

Chin-Huei Chang; Hsuan-Pei Lee

Displaying similar documents to “Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree”

Extension and restriction of holomorphic functions

Klas Diederich, Emmanuel Mazzilli (1997)

Annales de l'institut Fourier

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Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds $D^{'}$ of pseudoconvex domains $D$ to all of $D$ even in quite simple situations; The spaces $A^{p} (D^{'}) : = 𝒪 (D^{'}) \cap L^{p} (D^{'})$ are, in general, not at all preserved. Also the image of the Hilbert space $A^{2} (D)$ under the restriction to $D^{'}$ can have a very strange structure.

A remark on semiglobal existence for $\bar{\partial}$

Alberto Scalari (1997)

Rendiconti del Seminario Matematico della Università di Padova

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On the continuous extension of holomorphic correspondences

F. Berteloot, A. Sukhov (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Zeros of bounded holomorphic functions in strictly pseudoconvex domains in $ℂ^{2}$

Jim Arlebrink (1993)

Annales de l'institut Fourier

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Let $D$ be a bounded strictly pseudoconvex domain in $ℂ^{2}$ and let $X$ be a positive divisor of $D$ with finite area. We prove that there exists a bounded holomorphic function $f$ such that $X$ is the zero set of $f$ . This result has previously been obtained by Berndtsson in the case where $D$ is the unit ball in $ℂ^{2}$ .

On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position

Piotr Jakóbczak (1983)

Annales Polonici Mathematici

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Normed domains of holomorphy.

Krantz, Steven G. (2010)

International Journal of Mathematics and Mathematical Sciences

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Extension of correspondences between rigid polynomial domains

Nabil Ourimi (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Displaying similar documents to “Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree”

Extension and restriction of holomorphic functions

A remark on semiglobal existence for ∂ ¯

On the continuous extension of holomorphic correspondences

Zeros of bounded holomorphic functions in strictly pseudoconvex domains in ℂ 2

On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position

Normed domains of holomorphy.

Extension of correspondences between rigid polynomial domains

A remark on semiglobal existence for $\bar{\partial}$

Zeros of bounded holomorphic functions in strictly pseudoconvex domains in $ℂ^{2}$