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

Congwen Liu , Jiajia Si

Communications in Mathematics and Statistics ›› 2020, Vol. 8 ›› Issue (1) : 113 -134.

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Communications in Mathematics and Statistics ›› 2020, Vol. 8 ›› Issue (1) : 113 -134. DOI: 10.1007/s40304-019-00187-2
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Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space

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Abstract

We characterize bounded and compact positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space.

Keywords

Toeplitz operators / Bergman spaces / Siegel upper half-space / Carleson measure / Berezin transform

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Congwen Liu, Jiajia Si. Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space. Communications in Mathematics and Statistics, 2020, 8(1): 113-134 DOI:10.1007/s40304-019-00187-2

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National Natural Science Foundation of China(11571333)

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