Results 21 to 30 of about 5,540 (198)
Discrete sequences in unbounded domains [PDF]
Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$. Thus the speed of escape at the boundary of
Saracco, Alberto
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Projected Composition Operators on Pseudoconvex Domains [PDF]
Let $ \subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 ( )$ denote its Bergman space. Let $P:L^2( )\longrightarrow A^2( )$ be the Bergman projection. For a measurable $ : \longrightarrow $, the projected composition operator is defined by $(K_ f)(z) = P(f \circ )(z), z \in , f\in A^2 ( ).$ In 1994, Rochberg studied ...
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On Hardy spaces on worm domains
In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
doaj +1 more source
Folgendes Problem wird diskutiert: gibt es zu jedem Punkt \(z^ 0\) eines Gebietes \(G\Subset\mathbb{C}^ N\) \((N\geq 2)\) und zu jeder Richtung \(X\in\mathbb{C}^ N\), \(X\neq 0\), eine eigentliche holomorphe Abbildung \(F:\Delta\to G\) mit: \(F(0)=z^ 0\) und \(F'(0)=\lambda X\), \(\lambda>0\); \(\Delta\) bezeichne hier den offenen Einheitskreis der ...
Forstneric, Franc, Globevnik, Josip
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Model Pseudoconvex Domains and Bumping [PDF]
28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
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Geometric properties of semitube domains [PDF]
In the paper we study the geometry of semitube domains in $\mathbb C^2$. In particular, we extend the result of Burgu\'es and Dwilewicz for semitube domains dropping out the smoothness assumption.
Kosiński, Łukasz +2 more
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Pseudoconvex domains over Grassmann manifolds [PDF]
Tetsuo Ueda
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On Generalized Strongly p‐Convex Functions of Higher Order
The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
wiley +1 more source
Let Ω be a smoothly bounded pseudoconvex domain in Cn with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with bΩ at z0∈bΩ is larger than or equal to η.
Sanghyun Cho, Young Hwan You
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Deformations of strongly pseudoconvex domains [PDF]
We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
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