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Weighted Berezin transform in the polydisc [PDF]

Journal of Mathematical Analysis and Applications, 2008
For c>−1, let νc denote a weighted radial measure on C normalized so that νc(D)=1. If f is harmonic and integrable with respect to νc over the open unit disc D, then ∫D(f○ψ)dνc=f(ψ(0)) for every ψ∈Aut(D).
Lee, Jaesung
exaly   +2 more sources

Mean value property and a Berezin-type transform on the half-space [PDF]

Journal of Mathematical Analysis and Applications, 2011
Let B be the open unit ball in Rn. Liu (2007) [6] has shown that if f∈C(B¯) then the iterates of a Berezin-type transform BBkf of f converge to the Poisson extension of the boundary values of f, as k→∞.
Kyesook Nam
exaly   +2 more sources

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The Berezin Transform and Its Applications

Acta Mathematica Scientia, 2021
Kehe Zhu
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A sufficient condition for Lp regularity of the Berezin transform

Complex Variables and Elliptic Equations, 2023
Sonmez Sahutoglu, Nihat Gogus
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m-Berezin Transform on the Polydisk

Integral Equations and Operator Theory, 2005
Dechao Zheng
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Positivity of Toeplitz operators via Berezin transform

Journal of Mathematical Analysis and Applications, 2014
Dechao Zheng
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Weighted estimates for the Berezin transform and Bergman projection on the unit ball

Mathematische Zeitschrift, 2016
Edgar Landry Tchoundja, Brett D. Wick
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Berezin transform and Toeplitz operators on harmonic Bergman spaces

Journal of Functional Analysis, 2009
Boo Rim Choe
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Fixed points of the Berezin transform of multidimensional polyanalytic Fock spaces

Journal of Mathematical Analysis and Applications, 2020
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The Berezin Transform and BMO

Graduate Texts in Mathematics, 2012
Kehe Zhu
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