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Bergman空间L_a^1(Ω)上的Toeplitz和Hankel算子 被引量:1

Toeplitz Hankel Type Operators on L_a^1(Ω)
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摘要 本文讨论了 Bergman空间 L1a(Ω )中 Toeplitz和 Hankel算子的 W* 紧性 ,得到与 L2a(Ω )上 T- H算子紧性 This paper studies the W * compactness of Toeplitz and Hankel operators on the Bergman space L 1 a(Ω) , the results here are similar to those obtained by K.Stroethoff and Dechan Zheng [4] in the L 2 Bergman space context.
作者 项一星
出处 《工科数学》 2001年第1期9-11,共3页 Journal of Mathematics For Technology
关键词 TOEPLITZ算子 HANKEL算子 W^*紧 BERGMAN空间 紧性 Toeplitz operators Hankel operators W * compact
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参考文献7

  • 1Hoffman K. Bounded analytic functions and Gleason Parts[J]. Ann. of Math. , 1967,86:74-111.
  • 2Stroethoff K. Compact Hankel operators on the Bergman spaces[J]. Illinois J. Math. , 1990, 34:159-174.
  • 3Stroethoff K. Compact Hankel operators on the Bergman spaces of the unit ball and the polydisc in the Cn[J]. J.operator theory, 1990, 23:153-170.
  • 4Stroethoff K. and Zheng Dechao. Toeplitz and Hankel operators on the Bergman spaces[J]. Trans. Amer, Math.Soc; 1992,329:773-794.
  • 5Zheng Dechao. Toeplitz operators and Hankel operators[J]. Integral equations and operator theory, 1989,12:281-299.
  • 6Zhu K H. Hankel-Toeplitz type operators on L1α (Ω)[J]. Integral equations and operator theory, 1990, 13:285-302.
  • 7Stoll M. Mean value theorem for harmonic functions and holomorphic functions on bounded symmetric domains [J]. J. Reine Angew. Math., 1977,29:191-198.

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