## Journal of the Mathematical Society of Japan

### Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain

Satoshi YAMAJI

#### Abstract

We give criteria for the boundedness of positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain in terms of the Berezin symbol or the averaging function of the symbol. Moreover, we estimate the essential norm of positive Toeplitz operators assuming that they are bounded. As an application of these estimates, we also give necessary and sufficient conditions for the positive Toeplitz operators to be compact.

#### Article information

Source
J. Math. Soc. Japan, Volume 65, Number 4 (2013), 1101-1115.

Dates
First available in Project Euclid: 24 October 2013

https://projecteuclid.org/euclid.jmsj/1382620187

Digital Object Identifier
doi:10.2969/jmsj/06541101

Mathematical Reviews number (MathSciNet)
MR3127818

Zentralblatt MATH identifier
1284.47025

#### Citation

YAMAJI, Satoshi. Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain. J. Math. Soc. Japan 65 (2013), no. 4, 1101--1115. doi:10.2969/jmsj/06541101. https://projecteuclid.org/euclid.jmsj/1382620187

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