Results 21 to 30 of about 5,540 (198)

Discrete sequences in unbounded domains [PDF]

open access: yes, 2016
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
core   +2 more sources

Projected Composition Operators on Pseudoconvex Domains [PDF]

open access: yesIntegral Equations and Operator Theory, 2021
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 ...
openaire   +3 more sources

On Hardy spaces on worm domains

open access: yesConcrete Operators, 2016
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

Discs in pseudoconvex domains

open access: yesCommentarii Mathematici Helvetici, 1992
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
openaire   +2 more sources

Model Pseudoconvex Domains and Bumping [PDF]

open access: yesInternational Mathematics Research Notices, 2011
28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
openaire   +2 more sources

Geometric properties of semitube domains [PDF]

open access: yes, 2014
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
core   +3 more sources

On Generalized Strongly p‐Convex Functions of Higher Order

open access: yesJournal of Mathematics, Volume 2020, Issue 1, 2020., 2020
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

On Sharp Hölder Estimates of the Cauchy-Riemann Equation on Pseudoconvex Domains in Cn with One Degenerate Eigenvalue

open access: yesAbstract and Applied Analysis, 2015
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
doaj   +1 more source

Deformations of strongly pseudoconvex domains [PDF]

open access: yesManuscripta Mathematica, 2012
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.
openaire   +2 more sources

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