The dual of the Bergman space 𝐴¹ in symmetric Siegel domains of type 𝐼𝐼-Reference-Cited by-同舟云学术

The dual of the Bergman space 𝐴¹ in symmetric Siegel domains of type 𝐼𝐼

Published:1986 Issue:2 Volume:296 Page:607-619
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Békollé David

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 {A^1} coincides with the Bloch space of holomorphic functions and can be realized as the Bergman projection of L ∞ {L^\infty } .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-296-02/S0002-9947-1986-0846599-X/S0002-9947-1986-0846599-X.pdf

Reference8 articles.

1. Le dual de la classe de Bergman 𝐴¹ dans le transformé de Cayley de la boule unité de 𝐶ⁿ;Békollé, David;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1983

2. Le dual de la classe de Bergman 𝐴¹ dans le complexifié du cone sphérique;Békollé, David;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1983

3. Le dual de l’espace des fonctions holomorphes intégrables dans des domaines de Siegel;Békollé, David;Ann. Inst. Fourier (Grenoble),1984

4. Representation theorems for holomorphic and harmonic functions in 𝐿^{𝑝};Coifman, R. R.,1980

5. Analysis in homogeneous domains;Gindikin, S. G.;Uspehi Mat. Nauk,1964

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