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Weighted composition operators from bergman spaces into weighted bloch spaces

Songxiao LI
대한수학회 (The Korean Mathematical Society)|2005.01|대한수학회논문집 (Communications of the KMS)|제20권 제1호|pp. 63-70

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Abstract

In this paper we study bounded and compact weighted composition operator, induced by a ¯xed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

참고문헌 (10)

  1. "Toeplitz and Hankel operators on Bergman space", 21, pp.279~293 (1992)
  2. "Composition Operators on Spaces of AnalyticFunctions" (1995), CRC Press
  3. "The dual of an inequality of Hardy and Littlewood and some relatedinequalities", 38, pp.746~765 (1972)
  4. "Theory of Bergman Spaces Grad.Texts in Math. 1999" (2000)
  5. "Weighted composition operators between H1 and the Bloch space", 5, pp.555~563 (2001)
  6. "Bloch-Hardy pullbacks", 67, pp.709~718 (2001)
  7. "Composition operators between some classical spaces of analytic func-tion", pp.32~46 (2001)
  8. "The composition operators on weighted Bloch space", 78, pp.310~317 (2002)
  9. "Composition operators from Bloch type spaces to Hardy and Besovspaces", 233, pp.749~766 (1999)
  10. "Operator theory in function spaces" (1990)

관련 논문AI추천

Weighted composition operators between Bergman and Bloch spacesAjay K. Sharma, Rekha Kumari대한수학회 · 대한수학회논문집2007 · 제22권 제3호Weighted composition operators between Bergman-type spacesAjay K. Sharma, Som Datt Sharma대한수학회 · 대한수학회논문집2006 · 제21권 제3호Weighted composition operators between $H^\infty$ and Bergman type spacesXiangling Zhu대한수학회 · 대한수학회논문집2006 · 제21권 제4호Volterra composition operators between weighted bergman spaces and Bloch type spacesSongxiao Li대한수학회 · 대한수학회지2008 · 제45권 제1호Composition Operators on Weighted Hardy SpacesB. Yousefi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호Norm of the composition operator mapping Bloch space into Hardy or Bergman space이진기, Ern Gun Kwon대한수학회 · 대한수학회논문집2003 · 제18권 제4호

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