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μ-B空间到Q_(T,s)空间的复合算子

Composition Operators from μ-B Spaces to Q_(T,s) Spaces
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摘要 利用了T-Carleson测度讨论了μ-B空间到.Q_(T,s)空间的复合算子的有界性,并得出了该算子有界的充要条件. In this paper, the boundedness of spaces to QT,s spaces is discussed necessary condition of the operator's by adopt boundedn composition operators CФ (f) = f o Ф acting from μ- B ing the T-Carleson measure and a sufficient and ess is obtained.
出处 《五邑大学学报(自然科学版)》 CAS 2013年第3期7-11,共5页 Journal of Wuyi University(Natural Science Edition)
基金 国家自然科学基金资助项目(No.11126327)
关键词 μ-B空间 QT s空间 复合算子 T—Carleson测度 有界性 μ-B spaces QT,s spaces composition operators T-Carlcson measure boundedness
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参考文献12

  • 1LI Haiying, LIU Peide. Composition operators between generally weighted Bloch space and Qlog^q space [J]. Banach Journal of Mathematical Analysis, 2009, 3(1): 99-110.
  • 2SHIELDS A L, WILLIAMS D L. Bounded projections, duality, and multipliers in spaces of analytic functions[J]. Trans Am Math Soc, 1971, 162: 287-302.
  • 3STEVIC S. Norm of weighted composition operators from Bloch space to Hμ^∞ on the unit ball [J]. Arscombinatoria, 2008, 88: 125-127.
  • 4FU Xiaohong, ZHU Xiangling. Weighted composition operators on some weighted spaces in the unit ball [J]. Abstract and Applied Analysis, 2008, 605(3): 807-814.
  • 5乌兰哈斯.Mbius不变的Q_p空间:结果、技巧和问题(英文)[J].数学进展,2005,34(4):385-404. 被引量:10
  • 6WULAN Hasi, WU Pengcheng. Characterizations of Qk spaces [J]. J Math Anal Appl, 2001, 254: 484-497.
  • 7周江河,谭海鸥.关于解析Q_(T,s)空间[J].五邑大学学报(自然科学版),2009,23(3):50-52. 被引量:3
  • 8ESSEN M, WULAN Hasi, XIAO Jie. Several function-theoretic characterizations of Mobius invariant Qk spaces [J]. J Funct Anal, 2006, 230(1): 78-115.
  • 9PAU J. Bounded Mobius invariant Qk spaces [J]. J Math Anal Appl, 2008, 338(2): 1029-1042.
  • 10WULAN Hasi, ZHOU Jizhen. Qk type spaces of analytic functions [J]. J Funct Spaces Appl, 2006, 4(1): 73-84.

二级参考文献77

  • 1乌兰哈斯.Mbius不变的Q_p空间:结果、技巧和问题(英文)[J].数学进展,2005,34(4):385-404. 被引量:10
  • 2Andersson M, Carlsson H. Qp spaces in strictly pseudoconvex domains [J]. J. Anal. Math., 2001, 84: 335-359.
  • 3Anderson J, Clunie J, Pommerenke Ch. On Bloch functions and normal functions [J]. J. Reine Angew.Math., 1974, 270:12-37.
  • 4Aulaskari R, Girela D, Wulan Hasi. Qp spaces, Hadamand products and Carleson measures [J]. Math.Reports, 2000, 52: 421-430.
  • 5Aulaskari R, Girela D, Wulan Hasi. Taylor coefficients and mean growth of the derivative of Qp functions[J]. J. Math. Anal. Appl., 2001, 258: 415-428.
  • 6Aulaskari R, He Yuzan, Ristioja J, Zhao Ruhan. Qp spaces on Riemann surfaces [J]. Can. J. Math., 1998,50: 449-464.
  • 7Aulaskari R, Lappan P. Criteria for an analytic function to be Bloch and a harmonic or meromorplic function to be normal. Complex analysis and its applications [C]. Pitman Research Notes in Mathematics,305 Longman Scientific & Technical, Harlow: 1994: 136-146.
  • 8Aulaskari R, Lappan P, Xiao Jie, Zhao Ruhan. On α-Bloch spaces and multipliers of Dirichlet spaces [J]. J.Math. Anal. Appl., 1997, 209: 103-121.
  • 9Aulaskari R, Lappan P, Zhan Ruhan. On harmonic normal and Qp# functions [J]. Illinois J. Math., 2001, 45:423-440.
  • 10Aulaskari R, Norwak M, Zhao Ruhan. The n the derivative characterization of Mobius invariant Dirichlet space [J]. Bull. Austral. Math. Soc., 1998, 58: 43-56.

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