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加权Hardy空间上的有界复合算子的伴随表达式

Representation of Adjoint of Composition Operator on Weighted Hardy Space
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摘要 给出加权Hardy空间上的有界复合算子的伴随表达式,并验证文献[3]中复合算子的Cowen伴随表示定理为该伴随表达式的特例. Representation formula of adjoint of bounded composition operator on weighted Hardy spaceis are given, and we verify that Cowen's adjoint representation theorem of composition operator in reference[3] is special case of our representation formula.
作者 吴树宏
出处 《广西科学》 CAS 2008年第2期117-118,124,共3页 Guangxi Sciences
关键词 复合算子 伴随表示 加权HARDY空间 composition operator,representation of adjoint,weighted Hardy space
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参考文献6

  • 1Cowen C C. Composition operators on Hilbert spaces of analytic function: A status report [J]. Proceedings of Symposia in Pure Mathematics, 1990,51 : 1,131-145.
  • 2Cowen C C, Maccluer B D. Some problems on composition operators [J]. Contemporary Mathematics, 1998,213:17-25.
  • 3Cowen C C. Linear fractional composition operators on H^2[J].J Integral Equations and Operator Theory, 1988,11 : 151-160.
  • 4Cowen C C,Maccluer B D. Linear fractional maps of the ball and their composition operators[J].Acta Sci Math, 2000,66 : 351-376.
  • 5Donald J N M. Adjoints of a class of composition operators[J]. Proceedings of the American Mathematical Society, 2003,131 : 601-606.
  • 6Littlewood J E. On inequalities in the theory of functions[J]. Proc London Math Soc, 1925,23 : 481-519.

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