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)
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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.
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The Journal of Nonlinear Sciences and its Applications
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