본문 바로가기
KERD
논문KCI 등재

On distance estimates and atomic decompositions in spaces of analytic functions on strictly pseudoconvex domains

Romi F. Shamoyan|Milo\v s Arsenovi\'c
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회보 (Bulletin of the KMS)|제52권 제1호|pp. 85-103

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

pseudoconvex domainsBloch spaceBergman spacesextremal problemsatomic decomposition
주제분류수학

초록

We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.

Abstract

We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.

참고문헌 (21)

  1. M. Abate, "Toeplitz operators and Carleson measures in strongly pseudoconvex domains", J. Funct. Anal, 263(11), pp.3449~3491 (2012)
  2. P. Ahern, "Holomorphic Lipschitz functions in pseudoconvex domains", Amer. J. Math, 101(3), pp.543~565 (1979)
  3. F. Beatrous, Jr., "Lp-estimates for extensions of holomorphic functions", Michigan Math. J, 32(3), pp.361~380 (1985)
  4. W. S. Cohn, "Weighted Bergman projections and tangential area integrals", Studia Math, 106(1), pp.59~76 (1993)
  5. R. Coifman, "Representation theorems for holomorphic and harmonic functions in Lp, Representation theorems for Hardy spaces", pp.11~66 (1980), Soc. Math
  6. Z. ˇCuˇckovi´c, "Special Toeplitz operators on strongly pseudoconvex domains", Rev. Mat. Iberoam, 22(3), pp.851~866 (2006)
  7. P. Duren, "Theory of Hp Spaces" (1970), Academic Press
  8. N. Kerzman, "The Szeg¨o kernel in terms of Cauchy-Fantappie kernels", Duke Math. J, 45(2), pp.197~223 (1978)
  9. S. Li, "On characterization of Besov space and application. Part I", J. Math. Anal. Appl, 310, pp.477~491 (2005)
  10. S. Li, "Analysis on Besov spaces. II. Embedding and duality theorems", J. Math. Anal. Appl, 333(2), pp.1189~1202 (2007)
  11. S. Li, "On some extensions of theorems on atomic decompositions of Bergman and Bloch spaces in the unit ball and related problems", Complex Var. Elliptic Equ, 54(12), pp.1151~1162 (2009)
  12. S. Li, "On some estimates and Carleson type measure for multifunctional holomorphic spaces in the unit ball", Bull. Sci. Math, 134(2), pp.144~154 (2010)
  13. E. Ligocka, "On the Forelli-Rudin construction and weighted Bergman projections", Studia Math, 94(3), pp.257~272 (1989)
  14. J. M. Ortega, "Mixed-norm spaces and interpolation", Studia Math, 109(3), pp.233~254 (1994)
  15. M. M. Peloso, "Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains", Illinois J. Math, 38(2), pp.223~249 (1994)
  16. R. M. Range, "Holomorphic Functions and Integral Representations in Several Complex Variables" (1986), Springer-Verlag
  17. R. F. Shamoyan, "Some remarks on the action of Lusin area operator in Bergman spaces of the unit ball", Acta Univ. Apulensis Math. Inform, 29, pp.31~45 (2012)
  18. Romi F. Shamoyan, "SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS", 대한수학회논문집, 27(4), pp.753~762 (2012), 대한수학회
  19. R. Shamoyan, "On new estimates for distances in analytic function spaces in higher dimension", Sib. `Elektron. Mat. Izv, 6, pp.514~517 (2009)
  20. R. Shamoyan, "On new estimates for distances in analytic function spaces in the unit disk, the polydisk and the unit ball", Bol. Asoc. Mat. Venez, 17(2), pp.89~103 (2010)
  21. K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2005), Springer-Verlag

관련 논문AI추천

SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS이현호, Milos Arsenovic, Romi F. Shamoyan대한수학회 · 대한수학회논문집2012 · 제27권 제4호The Bergman Metric and Related Bloch Spaces on the Exponentially Weighted Bergman Space변지수, 이한울, 조홍래영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호Characterizations for the Fock-type spaces남계숙, 조홍래, 하정민대한수학회 · 대한수학회보2019 · 제56권 제3호SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACESSongxiao Li대한수학회 · 대한수학회보2010 · 제47권 제6호Lp-boundedness (1 ≤ p ≤ ∞) for Bergman Projection on a Class of Convex Domains of Infinite Type in C2Ly Kim Ha경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제3호CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALLSongxiao Li대한수학회 · 대한수학회보2012 · 제49권 제1호

이 간행물의 다른 논문 (25건)

HAYMAN T DIRECTIONS OF MEROMORPHIC FUNCTIONS IN SOME ANGULAR DOMAINSNan Wu, Zu-Xing Xuanpp. 1-11WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONSVeena L. Pujari, SUBHAS S.BHOOSNURMATHpp. 13-33A new mean value related to D. H. Lehmer's problem and Kloosterman sumsDi Han, Wenpeng Zhangpp. 35-43Finiteness of commutable maps of bounded degree이종규, Hexi Yepp. 45-56Real hypersurfaces in complex two-plane Grassmannians whose shape operator is of Codazzi type in generalized Tanaka-Webster connection이현진, Kyusuk Cho, Eunmi Pakpp. 57-68
원문 보기