The dual of the Bergman space $A^ 1$ in symmetric Siegel domains of type $\textrm {II}$
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- by David Békollé
- Trans. Amer. Math. Soc. 296 (1986), 607-619
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846599-X
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Abstract:
An affirmative answer is given to the following conjecture of R. Coifman and R. Rochberg: in any symmetric Siegel domain of type II, the dual of the Bergman space ${A^1}$ coincides with the Bloch space of holomorphic functions and can be realized as the Bergman projection of ${L^\infty }$.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 296 (1986), 607-619
- MSC: Primary 32M15; Secondary 46E99, 47B38
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846599-X
- MathSciNet review: 846599