On the paradox of two domains in Schwarzschild exterior solution
A. Zięba (1972)
Colloquium Mathematicae
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A. Zięba (1972)
Colloquium Mathematicae
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Edgar Lee Stout (2006)
Annales Polonici Mathematici
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We construct a domain of holomorphy in , N≥ 2, whose envelope of holomorphy is not diffeomorphic to a domain in .
J. Siciak (1985)
Matematički Vesnik
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Kyong T. Hahn, Josephine Mitchell (1973)
Annales Polonici Mathematici
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Rafał Czyż (2009)
Annales Polonici Mathematici
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Let be a bounded hyperconvex domain in and set , j=1,...,s, s ≥ 3. Also let be the image of D under the proper holomorphic map π. We characterize those continuous functions that can be extended to a real-valued pluriharmonic function in .
Marek Jarnicki, Peter Pflug (2006)
Studia Mathematica
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Let X be a Riemann domain over . If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set such that every slice of X with a∉ P is a region of holomorphy with respect to the family .
Alessandro Perotti (1986)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Viene studiata l'equazione per le forme regolari sulla chiusura dell'intersezione di domini pseudoconvessi. Si costruisce un operatore soluzione in forma integrale e sotto ipotesi opportune si ottengono stime della soluzione nelle norme .
Alessandro Perotti (1986)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Viene studiata l'equazione per le forme regolari sulla chiusura dell'intersezione di domini pseudoconvessi. Si costruisce un operatore soluzione in forma integrale e sotto ipotesi opportune si ottengono stime della soluzione nelle norme .
Wojciech M. Zajączkowski
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CONTENTS1. Introduction.......................................................................52. Notation and auxiliary results............................................93. Statement of the problem (1.1)-(1.3)..............................204. The problem (3.14).........................................................225. Auxiliary results in ...............................................346. Existence of solutions of (3.14) in ............417. Green function................................................................528....
William Fleissner, Lynne Yengulalp (2013)
Fundamenta Mathematicae
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Let M be a metrizable group. Let G be a dense subgroup of . We prove that if G is domain representable, then . The following corollaries answer open questions. If X is completely regular and is domain representable, then X is discrete. If X is zero-dimensional, T₂, and is subcompact, then X is discrete.
Jiecheng Chen, Dashan Fan, Yiming Ying (2002)
Studia Mathematica
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We give some rather weak sufficient condition for boundedness of the Marcinkiewicz integral operator on the product spaces (1 < p < ∞), which improves and extends some known results.
Sayed Saber (2015)
Czechoslovak Mathematical Journal
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Let be a Stein manifold of complex dimension and be a relatively compact domain with smooth boundary in . Assume that is a weakly -pseudoconvex domain in . The purpose of this paper is to establish sufficient conditions for the closed range of on . Moreover, we study the -problem on . Specifically, we use the modified weight function method to study the weighted -problem with exact support in . Our method relies on the -estimates by Hörmander (1965) and by Kohn (1973). ...
Gregor Fels, Alan Huckleberry (2005)
Bulletin de la Société Mathématique de France
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A real form of a complex semi-simple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of which, with very few well-understood exceptions, are parameterized by the Wolf cycle...
M. Prizzi, M. Rinaldi, K. P. Rybakowski (2002)
Studia Mathematica
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Consider the family uₜ = Δu + G(u), t > 0, , , t > 0, , of semilinear Neumann boundary value problems, where, for ε > 0 small, the set is a thin domain in , possibly with holes, which collapses, as ε → 0⁺, onto a (curved) k-dimensional submanifold of . If G is dissipative, then equation has a global attractor . We identify a “limit” equation for the family , prove convergence of trajectories and establish an upper semicontinuity result for the family as ε → 0⁺. ...
M. Prizzi, K. P. Rybakowski (2003)
Studia Mathematica
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We study a family of semilinear reaction-diffusion equations on spatial domains , ε > 0, in lying close to a k-dimensional submanifold ℳ of . As ε → 0⁺, the domains collapse onto (a subset of) ℳ. As proved in [15], the above family has a limit equation, which is an abstract semilinear parabolic equation defined on a certain limit phase space denoted by . The definition of , given in the above paper, is very abstract. One of the objectives of this paper is to give more manageable...
Dorothee D. Haroske, Leszek Skrzypczak (2013)
Studia Mathematica
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We study embeddings of spaces of Besov-Morrey type, , where is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of . This continues our earlier studies relating to the case of . Moreover, we also characterise embeddings into the scale of spaces or into the space of bounded continuous functions.
Jiří Souček (1972)
Časopis pro pěstování matematiky
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Karl Oeljeklaus, Dan Zaffran (2006)
Bulletin de la Société Mathématique de France
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Let denote a holomorphic bundle with fiber and with basis . Both and are assumed to be Stein. For a Reinhardt bounded domain of dimension or , we give a necessary and sufficient condition on for the existence of a non-Stein such (Theorem ); for , we give necessary and sufficient criteria for to be Stein (Theorem ). For a Reinhardt bounded domain of any dimension not intersecting any coordinate hyperplane, we give a sufficient criterion for to be Stein (Theorem...
A. Aytuna, A. Rashkovskii, V. Zahariuta (2002)
Annales Polonici Mathematici
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For complete Reinhardt pairs “compact set - domain” K ⊂ D in ℂⁿ, we prove Zahariuta’s conjecture about the exact asymptotics , s → ∞, for the Kolmogorov widths of the compact set in C(K) consisting of all analytic functions in D with moduli not exceeding 1 in D, τ(K,D) being the condenser pluricapacity of K with respect to D.
Christian Samuel (2010)
Colloquium Mathematicae
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We show that every operator from to is compact when 1 ≤ p,q < s and that every operator from to is compact when 1/p + 1/q > 1 + 1/s.
Qing Li (2010)
Colloquium Mathematicae
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This paper is a continuation of the investigation of almost Prüfer v-multiplication domains (APVMDs) begun by Li [Algebra Colloq., to appear]. We show that an integral domain D is an APVMD if and only if D is a locally APVMD and D is well behaved. We also prove that D is an APVMD if and only if the integral closure D̅ of D is a PVMD, D ⊆ D̅ is a root extension and D is t-linked under D̅. We introduce the notion of an almost t-splitting set. denotes the ring , where S is a multiplicatively...
Graziano Gentili (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Si studiano «combinazioni convesse complesse» per mappe olomorfe dal disco unità di in un dominio convesso limitato di uno spazio di Banach complesso , e se ne traggono conseguenze sul carattere globale della non unicità per le geodetiche complesse di .
A. Pełczyński, H. Rosenthal (1975)
Studia Mathematica
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