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SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS

이현호|Romi F. Shamoyan|Milos Arsenovic
대한수학회 (The Korean Mathematical Society)|2012.10|대한수학회논문집 (Communications of the KMS)|제27권 제4호|pp. 753-762

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참고문헌

키워드

pseudoconvex domainsBergman spacesextremal problems
주제분류수학

초록

We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane. We also prove new analogous results in the context of bounded strictly pseudoconvex domains with smooth boundary.

Abstract

We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane. We also prove new analogous results in the context of bounded strictly pseudoconvex domains with smooth boundary.

참고문헌 (11)

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  4. D. Bekolle, "Lecture notes on Bergman projections on tube domains over cones: an analytic and geometric viewpoint", ~ (2002)
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  6. A. Djrbashian, "Integral inequalities between conjugate pluriharmonic functions in multidimensional domains", pp.216~236 (1988), Izv NAts Akad Nauk Armenii
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  8. P. Duren, "Theory of Hp Spaces" (1970), Academic Press
  9. J. Faraut, "Function spaces and reproducing kernels on bounded sym- metric domains", J. Funct. Anal, 88(1), pp.64~89 (1990)
  10. R. Shamoyan, "On new estimates for distances in analytic function spaces in the unit disk, polydisk and unit ball", Bol. Asoc. MAt. Venez.
  11. R. Shamoyan, "On new estimates for distances in analytic function spaces in higher dimension", Sib. Elektron. Mat. Izv, 6, pp.514~517 (2009)

관련 논문AI추천

On distance estimates and atomic decompositions in spaces of analytic functions on strictly pseudoconvex domainsMilo\v s Arsenovi\'c, Romi F. Shamoyan대한수학회 · 대한수학회보2015 · 제52권 제1호SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACESSongxiao Li대한수학회 · 대한수학회보2010 · 제47권 제6호Remarks on weighted harmonic Bergman functions on half-spaces이흥수장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호The Bergman Metric and Related Bloch Spaces on the Exponentially Weighted Bergman Space변지수, 이한울, 조홍래영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호WEIGHED HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS ON HALF-SPACES위형수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호BERGMAN KERNEL ESTIMATES FOR GENERALIZED FOCK SPACES박수현, 조홍래영남수학회 · East Asian Mathematical Journal2017 · 제33권 제1호

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