On some properties of holomorphic spaces based on Bergman metric ball and Luzin area operator.
Shamoyan, Romi F., Mihic, Olivera R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Shamoyan, Romi F., Mihic, Olivera R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Pavlović, Miroslav, Zhu, Kehe (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Zbigniew Pasternak-Winiarski (1991)
Annales Polonici Mathematici
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We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.
Shamoyan, Romi, Li, Haiying (2010)
The Journal of Nonlinear Sciences and its Applications
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Hans Jarchow (2004)
Extracta Mathematicae
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Avetisyan, K.L., Shamoyan, R.F. (2006)
Matematichki Vesnik
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David Bekollé, Aline Bonami (1995)
Colloquium Mathematicae
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Zhao, Ruhan (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jan Stochel (1992)
Annales Polonici Mathematici
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The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of...
Zhangjian Hu (1996)
Colloquium Mathematicae
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Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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