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Weak compactness of holomorphic composition operators on H 1

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Functional Analysis and Operator Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1511))

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References

  1. N. Dunford and J. T. Schwartz, “Linear Operators, Part I,” Interscience, New York, 1958.

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  2. J. García-Cuerva and J. L. Rubio de Francia, “Weigtghted Norm Inequalities and Related Topics,” North-Holland, Amsterdam, 1985.

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  3. K. Hoffman, “Banach Spaces of Analytic Functions,” Prentice-Hall, Englewood Cliffs, NJ, 1962.

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  4. J. V. Ryff, Subordinate H p functions, Duke Math. J. 33 (1966), 347–354.

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  5. D. Sarason, Composition operators as integral operators, Analysis and Partial Differential Equations, a collection of papers dedicated to M. Cotlar, Marcel Dekker, New York, 1990.

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  6. J. H. Shapiro and C. Sundberg, Compact composition operators on L 1, Proc. Amer. Math. Soc., forthcoming.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA

    Donald Sarason

Authors
  1. Donald Sarason
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B. S. Yadav D. Singh

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© 1992 Springer-Verlag

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Sarason, D. (1992). Weak compactness of holomorphic composition operators on H 1 . In: Yadav, B.S., Singh, D. (eds) Functional Analysis and Operator Theory. Lecture Notes in Mathematics, vol 1511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093798

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  • DOI: https://doi.org/10.1007/BFb0093798

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55365-6

  • Online ISBN: 978-3-540-47041-0

  • eBook Packages: Springer Book Archive

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