Weighted Berezin transform in the polydisc

DOI10.1016/j.jmaa.2007.06.048zbMath1141.47028OpenAlexW2028399223MaRDI QIDQ2473996

Jaesung Lee

Publication date: 5 March 2008

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.2007.06.048

zbMATH Keywords

harmonic functionmean value propertyweighted Berezin transform

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Iterates of weighted Berezin transform under invariant measure in the unit ball ⋮ Unnamed Item ⋮ CHARACTERIZING FUNCTIONS FIXED BY A WEIGHTED BEREZIN TRANSFORM IN THE BIDISC

Cites Work

• Commuting Toeplitz operators with harmonic symbols
• Harmonic analysis of spherical functions on \(SU(1,1)\)
• An invariant volume-mean-value property
• Integrable harmonic functions on symmetric spaces of rank one
• Functions invariant under the Berezin transform
• Integrable harmonic functions on \(\mathbb{R}^ n\)
• Invariant mean-value property and \(\mathcal M\)-harmonicity in the unit ball of \(\mathbb{R}^n\)
• Fixed points of an integral operator
• A Poisson formula for semi-simple Lie groups
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