Results 21 to 30 of about 254 (149)
$m$-Berezin transform and compact operators
Revista Matemática Iberoamericana, 2006 m -Berezin transforms are introduced for bounded operators on the Bergman space of the unit ball. The norm of the m -Berezin transform as a linear operator from the space of bounded ...
Nam , Kyesook +2 more
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Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols
International Journal of Mathematics and Mathematical Sciences, 2011 We study the problem of the boundedness and compactness of 𝑇𝜙 when 𝜙∈𝐿2(Ω) and Ω is a planar domain. We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.
Roberto C. Raimondo
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(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk
Journal of Function Spaces, 2016 We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform.
Ran Li, Yufeng Lu
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Schatten Class Toeplitz Operators on the Bergman Space
International Journal of Mathematics and Mathematical Sciences, 2009 We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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BEREZIN TRANSFORM OF INVERTIBLE POSITIVE OPERATORS
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2021 In this paper we introduce a class A ⊂ L∞(D) such that if φ ∈ Aand satisfies certain positive-definite condition, then there exists aψ ∈ A such that φ(z) ≤ αeψ(z), for some constant α > 0. Further,if φ(z) = hAkz, kzi, for some bounded positive, invertible operator Afrom the Bergman space L2a(D) into itself then ψ(z) = h(log A)kz, kzi.Here kz, z ∈ D ...
Namita Das, Madhusmita Sahoo
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Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C
International Journal of Mathematics and Mathematical Sciences, 2018 We study the compactness of some classes of bounded operators on the Bergman space with variable exponent. We show that via extrapolation, some results on boundedness of the Toeplitz operators with general L1 symbols and compactness of bounded operators ...
Dieudonne Agbor
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Covariant derivatives of the Berezin transform [PDF]
Transactions of the American Mathematical Society, 2011 Improving upon recent results of Coburn, Xia, Li, Engliš and Zhang, Bommier-Hato, and others, we give estimates for higher-order covariant derivatives of the Berezin transform of bounded linear operators on a reproducing kernel Hilbert space of holomorphic functions. The answer turns out to involve the curvature of the Bergman-type metric associated to
Engliš, M. (Miroslav), Otáhalová, R.
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On the closed range problem for composition operators on the Dirichlet space
Concrete Operators, 2019 We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
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Hyperbolic harmonic functions and the associated integral equations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper we consider a class of integral equations associated with the invariant mean value property of hyperbolic harmonic functions. We have shown that nonconstant solutions of these integral equations are functions of unbounded variations and do ...
Das Namita, Lal Rajendra Prasad
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Quantitative Mapping of Fibrotic Tissue Mechanics via Brillouin Spectroscopy
Journal of Biophotonics, Volume 19, Issue 3, March 2026.Brillouin spectroscopy distinguishes fibrotic from healthy tissue based on localized stiffness changes and enables real‐time monitoring of dynamic alterations in viscoelastic properties during fibrogenesis.ABSTRACTFibrosis is a pathological scarring process that disrupts tissue architecture, and is characterized by excessive extracellular matrix (ECM ...
Vsevolod Cheburkanov +3 more
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