Results 1 to 10 of about 897 (167)
Corona theorem for strictly pseudoconvex domains [PDF]
Opuscula Mathematica, 2021 Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using
Sebastian Gwizdek
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Peak Points for Pseudoconvex Domains: A Survey [PDF]
Journal of Geometric Analysis, 2008 This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.
Alan Noell
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On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains [PDF]
Journal of Function Spaces, 2015 New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains ...
Romi F. Shamoyan, Olivera R. Mihić
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ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
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On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
Shamoyan, R.F., Tomashevskaya, E.B.
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Uniformization of strictly pseudoconvex domains. II [PDF]
Izvestiya: Mathematics, 2005 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.
Nemirovski, Stefan, Shafikov, Rasul
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
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Commentarii 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
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Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
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Analyticity in the boundary of a pseudoconvex domain [PDF]
Proceedings of the American Mathematical Society, 1985 Let D D be a bounded pseudoconvex domain with
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