A limit involving functions in
Biagio Ricceri (1999)
Colloquium Mathematicae
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We point out the following fact: if Ω ⊂ is a bounded open set, δ>0, and p>1, then , where
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Biagio Ricceri (1999)
Colloquium Mathematicae
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We point out the following fact: if Ω ⊂ is a bounded open set, δ>0, and p>1, then , where
Gabriela Kohr, Mirela Kohr (1997)
Annales Polonici Mathematici
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We obtain an extension of Jack-Miller-Mocanu’s Lemma for holomorphic mappings defined in some Reinhardt domains in . Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain with p ≥ 1.
Andrea Iannuzzi (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is shown that given a bounded strictly convex domain in with real analitic boundary and a point in , there exists a larger bounded strictly convex domain with real analitic boundary, close as wished to , such that is a ball for the Kobayashi distance of with center . The result is applied to prove that if is not biholomorphic to the ball then any automorphism of extends to an automorphism of .
Z. Abdul-Hadi, D. Bschouty, W. Hengartner (1985)
Matematički Vesnik
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Ting Guo, Zhiming Feng, Enchao Bi (2021)
Czechoslovak Mathematical Journal
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We study a class of typical Hartogs domains which is called a generalized Fock-Bargmann-Hartogs domain . The generalized Fock-Bargmann-Hartogs domain is defined by inequality , where . In this paper, we will establish a rigidity of its holomorphic automorphism group. Our results imply that a holomorphic self-mapping of the generalized Fock-Bargmann-Hartogs domain becomes a holomorphic automorphism if and only if it keeps the function invariant.
Piotr Jakóbczak (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be a domain in . Given , set . If is a holomorphic and square-integrable function in , then the set of all such that is not square-integrable in has measure zero. We call this set the exceptional set for . In this Note we prove that whenever there exists a holomorphic square-integrable function in the unit ball in such that is the circle .
Lamberto Cattabriga, Luisa Zanghirati (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The surjectivity of the operator from the Gevrey space , , onto itself and its non-surjectivity from to is proved.
J. Siciak (1985)
Matematički Vesnik
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Marek Jarnicki, Peter Pflug (1997)
Annales Polonici Mathematici
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We present various characterizations of n-circled domains of holomorphy with respect to some subspaces of .