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Positive Toeplitz operators between the pluriharmonic Bergman spaces

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Abstract

We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space b p into another b q for 1 < p, q < ∞ in terms of certain Carleson and vanishing Carleson measures.

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References

  1. B. R. Choe, H. Koo, and H. Yi: Positive Toeplitz operators between the harmonic Bergman spaces. Potential Anal. 17 (2002), 307–335.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. R. Choe, Y. J. Lee, and K. Na: Positive Toeplitz operators from a harmonic Bergman space into another. Tohoku Math. J. 56 (2004), 255–270.

    Article  MATH  MathSciNet  Google Scholar 

  3. E. S. Choi: Positive Toeplitz operators on pluriharmonic Bergman spaces. J. Math. Kyoto Univ. 47 (2007), 247–267.

    MATH  MathSciNet  Google Scholar 

  4. D. Luecking: Embedding theorem for spaces of analytic functions via Khinchine’s inequality. Mich. Math. J. 40 (1993), 333–358.

    Article  MATH  MathSciNet  Google Scholar 

  5. J. Miao: Toeplitz operators on harmonic Bergman spaces. Integral Equations Oper. Theory 27 (1997), 426–438.

    Article  MATH  Google Scholar 

  6. K. Zhu: Operator Theory in Function Spaces. Marcell Dekker, New York, 1990.

    MATH  Google Scholar 

  7. K. Zhu: Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric domains. J. Oper. Theory 20 (1988), 329–357.

    MATH  Google Scholar 

  8. W. Rudin: Function Theory in the Unit Ball of ℂn. Springer-Verlag, New York, 1980.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Korea University, Seoul, 136-701, Korea

    Eun Sun Choi

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  1. Eun Sun Choi
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Correspondence to Eun Sun Choi.

Additional information

This research was supported by KOSEF (R01-2003-000-10243-0) and Korea University Grant.

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Choi, E.S. Positive Toeplitz operators between the pluriharmonic Bergman spaces. Czech Math J 58, 93–111 (2008). https://doi.org/10.1007/s10587-008-0007-x

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  • DOI: https://doi.org/10.1007/s10587-008-0007-x

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