Elke Wolf (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Elke Wolf (2012)
Annales UMCS, Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Ali Abkar, B. Jafarzadeh (2010)
Czechoslovak Mathematical Journal
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We study sub-Bergman Hilbert spaces in the weighted Bergman space . We generalize the results already obtained by Kehe Zhu for the standard Bergman space .
Stevo Stević, Ajay K. Sharma (2012)
Annales Polonici Mathematici
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We characterize the boundedness and compactness of composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk.
E. Wolf (2009)
RACSAM
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Bo-Yong Chen (2006)
Studia Mathematica
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Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.
Elke Wolf (2011)
Annales Polonici Mathematici
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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
Olli Hyvärinen, Ilmari Nieminen (2015)
Concrete Operators
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In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic type
Muhammed Ali Alan (2010)
Annales Polonici Mathematici
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Weighted pluripotential theory is a rapidly developing area; and Callaghan [Ann. Polon. Math. 90 (2007)] recently introduced θ-incomplete polynomials in ℂ for n>1. In this paper we combine these two theories by defining weighted θ-incomplete pluripotential theory. We define weighted θ-incomplete extremal functions and obtain a Siciak-Zahariuta type equality in terms of θ-incomplete polynomials. Finally we prove that the extremal functions can be recovered using orthonormal polynomials...
Lu, Yufeng, Yang, Jun (2008)
Abstract and Applied Analysis
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Gu, Dinggui (2008)
Journal of Inequalities and Applications [electronic only]
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Elke Wolf (2010)
Matematički Vesnik
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Stević, Stevo (2010)
Abstract and Applied Analysis
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Liang Zhang, Ze-Hua Zhou (2015)
Open Mathematics
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The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous. Motivated by those, we investigate conditions to ensure that finite many powers of differentiation operators are disjoint hypercyclic on generalized weighted Bergman spaces of entire functions.