Displaying similar documents to “The stability radius of an operator of Saphar type”

Rigidity of holomorphic isometries

Edoardo Vesentini (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.

Holomorphic extension maps for spaces of Whitney jets.

Jean Schmets, Manuel Valdivia (2001)

RACSAM

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The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C-functions on an open subset of R. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of R into a space of holomorphic functions on an open subset D of C such that D ∩ R = RF.

Pseudo shift operators with large images

M. C. Calderón-Moreno (2002)

Colloquium Mathematicae

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We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.

Behavior of holomorphic functions in complex tangential directions in a domain of finite type in C.

Sandrine Grellier (1992)

Publicacions Matemàtiques

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Let Ω be a domain in C. It is known that a holomorphic function on Ω behaves better in complex tangential directions. When Ω is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex tangential directions (see the papers on the geometry of finite type domains of Catlin, Nagel-Stein and Wainger for precise definition). We show that this improvement is characteristic: for a holomorphic function, a regularity in complex tangential...