Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space-Reference-Cited by-同舟云学术

Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space

Published:2019-07-26 Issue:1 Volume:8 Page:113-134
ISSN:2194-6701
Container-title:Communications in Mathematics and Statistics
language:en
Short-container-title:Commun. Math. Stat.

Author:

Liu Congwen^ORCID,Si Jiajia

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s40304-019-00187-2.pdf

Reference16 articles.

1. Axler, S.: Bergman spaces and their operators, surveys of some recent results in operator theory, vol. 1. Pitman Res. Notes Math. Ser. 171, 1–50 (1988)

2. Choe, B., Koo, H., Yi, H.: Positive Toeplitz operators between the harmonic Bergman spaces. Potential Anal. 17(4), 307–335 (2002)

3. Choe, B., Nam, K.: Toeplitz operators and Herz spaces on the half-space. Integral Equ. Oper. Theory 59(4), 501–521 (2007)

4. Coifman, R.R., Rochberg, R.: Representation theorems for holomorphic and harmonic functions in $$L^p$$. Astérisque 77, 11–66 (1980)

5. Djrbashian, M.M., Karapetyan, A.H.: Integral representations for some classes of functions holomorphic in a Siegel domain. J. Math. Anal. Appl. 179, 91–109 (1993)

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