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Positivity of Toeplitz operators via Berezin transform

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Publication:488775
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DOI10.1016/j.jmaa.2014.03.020zbMath1325.47066OpenAlexW2036145975MaRDI QIDQ488775

Xian Feng Zhao, DeChao Zheng

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.020


zbMATH Keywords

Hardy spaceBergman spaceBerezin transformpositive Toeplitz operatorsharmonic symbol


Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)


Related Items (5)

Positivity of Fock Toeplitz operators via the Berezin transform ⋮ Some properties of solutions to the Riccati equations in connection with Bergman spaces ⋮ Essential positivity ⋮ Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols ⋮ Positivity of Toeplitz operators on harmonic Bergman space



Cites Work

  • Berezin versus Mellin.
  • Berezin transform and Weyl-type unitary operators on the Bergman space
  • Compact operators via the Berezin transform
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