본문 바로가기
KERD
논문KCI 등재

Norm of the composition operator from Bloch space to Bergman space

Kazuhiro Kasuga
대한수학회 (The Korean Mathematical Society)|2014.07|대한수학회논문집 (Communications of the KMS)|제29권 제3호|pp. 409-413

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Bloch spacecomposition operatorBergman space
주제분류수학

초록

In this paper, we study some quantity equivalent to the norm of Bloch to Ap composition operator where Ap is the weighted Bergman space on the unit ball of Cn (0 < p < ∞ and −1 < α < ∞).

Abstract

In this paper, we study some quantity equivalent to the norm of Bloch to Ap composition operator where Ap is the weighted Bergman space on the unit ball of Cn (0 < p < 1 and −1 < < 1).

참고문헌 (10)

  1. P. Ahern, "On the behavior near a torus of functions holomorphic in the ball", Pacific J. Math, 107(2), pp.267~278 (1983)
  2. P. Ahern, "Bloch functions, BMO, and boundary zeros", Indiana Univ. Math. J, 36(1), pp.131~148 (1987)
  3. S. Dai, "Schwarz-Pick lemma of high order in several variables", Michigan Math. J, 59(3), pp.517~533 (2010)
  4. M. Jevtic, "On M-harmonic space Dsp", Filomat, 9(1), pp.77~82 (1995)
  5. E. G. Kwon, "Hyperbolic mean growth of bounded holomorphic functions in the ball", Trans. Amer. Math. Soc, 355(3), pp.1269~1294 (2003)
  6. Ern Gun Kwon, "Norm of the composition operator mapping Bloch space into Hardy or Bergman space", 대한수학회논문집, 18(4), pp.653~659 (2003), 대한수학회
  7. W. Ramey, "Bounded mean oscillation of Bloch pull-backs", Math. Ann, 291(4), pp.591~606 (1991)
  8. W. Rudin, "Function Theory in the Unit Ball of Cⁿ" (1980), Springer-Verlag
  9. W. Rudin, "Real and Complex Analysis" (1987), McGraw-Hill
  10. M. Stoll, "Invariant Potential Theory in the Unit Ball of Cⁿ" (1994), Cambridge Univ. Press

관련 논문AI추천

Generalized composition operators from generalized weighted Bergman spaces to Bloch type spacesXiangling Zhu대한수학회 · 대한수학회지2009 · 제46권 제6호Essential norm of the composition operators between Bergman spaces of logarithmic weights권언근, 이진기대한수학회 · 대한수학회보2017 · 제54권 제1호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Bounded composition operators from the Bergman space to the Hardy spaceKazuhiro Kasuga, Takahiko Nakazi대한수학회 · 대한수학회보2014 · 제51권 제4호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호Volterra composition operators between weighted bergman spaces and Bloch type spacesSongxiao Li대한수학회 · 대한수학회지2008 · 제45권 제1호

이 간행물의 다른 논문 (10건)

Fibonacci numbers and semisimple continued fraction최은미pp. 387-399The spectral continuity of essentially hyponormal operators류은진, 김안현pp. 401-408Dirichlet problem for polynomials on the unit diskAli Sinan Sertozpp. 415-420POLARIZATION AND UNCONDITIONAL CONSTANTS OF P(2d∗(1,w)2)김성권pp. 421-428Further hypergeometric identities deducible by fractional calculusSebastien Gaboury, Arjun K. Rathiepp. 429-437
원문 보기