Results 21 to 30 of about 2,570 (220)
Carleson measures and Toeplitz operators on small Bergman spaces on the ball [PDF]
, 2021 summary:We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip's results from the unit disk of ...
Le, Van An
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Consequences of universality among Toeplitz operators [PDF]
, 2015 The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been one tool for studying the problem.
Gallardo Gutiérrez, Eva Antonia +1 more
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Algebraic properties of Toeplitz operators on weighted Bergman spaces [PDF]
, 2021 summary:We study algebraic properties of two Toeplitz operators on the weighted Bergman space on the unit disk with harmonic symbols. In particular the product property and commutative property are discussed.
Appuhamy, Amila
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Positive Toeplitz operators between the pluriharmonic Bergman spaces [PDF]
, 2008 summary:We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space $b^p$ into another $b^q$ for $1 < p,
Eun Sun Choi, Choi, Eun Sun
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Commuting Toeplitz operators on the pluriharmonic Bergman space [PDF]
, 2004 summary:We prove that two Toeplitz operators acting on the pluriharmonic Bergman space with radial symbol and pluriharmonic symbol respectively commute only in an obvious ...
Lee, Young Joo
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A symbol calculus for Toeplitz operators. [PDF]
Proc Natl Acad Sci U S A, 1986 We give a complete characterization of those functions on 2 n -dimensional Euclidean space for which the Berezin-Toeplitz quantizations admit a symbol calculus modulo the compact operators. The functions in question are characterized by a condition of “small oscillation at infinity.”
Berger CA, Coburn LA.
europepmc +4 more sources
Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces
Journal of Function Spaces, 2017 On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. We obtain characterizations of commuting Toeplitz and Hankel operators and essentially commuting (semicommuting) Toeplitz and Hankel ...
Qian Ding, Yong Chen, Yufeng Lu
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Toeplitz Operators on the Dirichlet Space of 𝔹n
Abstract and Applied Analysis, 2012 We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
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Unitary equivalence of one-parameter groups of Toeplitz and composition operators [PDF]
, 2011 The composition operators on H2 whose symbols are hyperbolic automorphisms of the unit disk fixing ±1 comprise a one-parameter group and the analytic Toeplitz operators coming from covering maps of annuli centered at the origin whose radii are ...
Cowen, Carl C. +4 more
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Abstract and Applied Analysis, 2013 We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
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