Results 1 to 10 of about 254 (149)
Derivatives of the Berezin Transform [PDF]
Journal of Function Spaces and Applications, 2012 For a rotation invariant domain Ω, we consider A2(Ω,μ) the Bergman space and we investigate some properties of the rank one projection A(z):=〈⋅,kz〉kz. We prove that the trace of all the strong derivatives of A(z) is zero. We also focus on the generalized
Hélène Bommier-Hato
doaj +2 more sources
Lipschitz estimates for the Berezin transform [PDF]
Journal of Function Spaces and Applications, 2010 We consider the generalized Fock space A2(μm), where μm is the measure with weight e−|z|m, m > 0, with respect to the Lebesgue measure on Cn. Improving upon a recent result of L. Coburn and J.
Hélène Bommier-Hato
doaj +2 more sources
Multiplication Operator with BMO Symbols and Berezin Transform [PDF]
Journal of Function Spaces, 2015 We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng +4 more
doaj +2 more sources
Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj +1 more source
Berezin Yarıçapı İçin Diğer Eşitsizlikler
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 İşlevsel Hilbert uzayları, istatistik, yaklaşım teorisi, grup temsili teorisi, vb. dahil olmak üzere birçok alanda ortaya çıkar. İşlevsel Hilbert uzay sayesinde tanımlanan Berezin dönüşümü ise, düzgün fonksiyonları analitik fonksiyonların Hilbert ...
Mehmet Gürdal, Hamdullah Başaran
doaj +1 more source
On convergence of the Berezin transforms [PDF]
Journal of Mathematical Analysis and Applications, 2020 minor changes and corrections. To appear in . Math.
Nihat Gökhan Göğüş +1 more
openaire +4 more sources
Compact operators via the Berezin transform [PDF]
Indiana University Mathematics Journal, 1998 In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even when S equals a single Toeplitz operator.
Axler, Sheldon, Zheng, Dechao
openaire +2 more sources
Berezin transform in polynomial bergman spaces [PDF]
Communications on Pure and Applied Mathematics, 2010 AbstractFix a smooth weight function Q in the plane, subject to a growth condition from below. Let Km,n denote the reproducing kernel for the Hilbert space of analytic polynomials of degree at most n − 1 of finite L2‐norm with respect to the measure e−mQ dA. Here dA is normalized area measure, and m is a positive real scaling parameter. The (polynomial)
Ameur, Yacin +2 more
openaire +3 more sources
BEREZIN-TOEPLITZ QUANTIZATION AND BEREZIN TRANSFORM [PDF]
Long Time Behaviour of Classical and Quantum Systems, 2001 17 ...
openaire +4 more sources
The Berezin transform on the Toeplitz algebra [PDF]
Studia Mathematica, 1998 29 pages.
Axler, Sheldon, Zheng, Dechao
openaire +3 more sources