Singular elliptic operators related to harmonic analysis and complex analysis of several variables (Q2752185)

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scientific article; zbMATH DE number 1665480
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Singular elliptic operators related to harmonic analysis and complex analysis of several variables
scientific article; zbMATH DE number 1665480

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    5 May 2002
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    strongly pseudoconvex domains
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    harmonic analysis
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    singular elliptic operators
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    Martin compactification
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    Carleson measure
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    Singular elliptic operators related to harmonic analysis and complex analysis of several variables (English)
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    This is a survey article on harmonic analysis for singular elliptic operators on a strongly pseudoconvex domain in \(\mathbb{C}^n\). The first part of the paper which is divided into three parts gives a quick review of harmonic analysis on the unit ball in \(\mathbb{C}^n\). In the second part the author deals with Martin compactification and harmonic measure for singular elliptic operators and surveys mainly the results obtained in the author's paper [TĂ´hoku Math. J. (2) 46, 469-498 (1994; Zbl 0823.32002)]. The third part is mainly devoted to announcing the results of the author related to Carleson measure.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00044].
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