Results 21 to 30 of about 1,173,022 (231)
Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open Mathematics, 2023 In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
doaj +1 more source
Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Comptes Rendus. Mathématique, 2023 In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
doaj +1 more source
The Norm of a Truncated Toeplitz Operator [PDF]
, 2009 We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^2$ and $H^{\infty}$ norms of functions in model spaces.
S. Garcia, W. Ross
semanticscholar +1 more source
A Toeplitz-type operator on Hardy spaces in the unit ball [PDF]
Transactions of the American Mathematical Society, 2018 We study a Toeplitz type operator $Q_\mu$ between the holomorphic Hardy spaces $H^p$ and $H^q$ of the unit ball. Here the generating symbol $\mu$ is assumed to a positive Borel measure.
Jordi Pau, A. Perala
semanticscholar +1 more source
Analytic Berezin–Toeplitz operators [PDF]
Mathematische Zeitschrift, 2021 We introduce new tools for analytic microlocal analysis on K hler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error.
openaire +2 more sources
Toeplitz Operators on Dirichlet-Type Space of Unit Ball
Abstract and Applied Analysis, 2014 We construct a function u in L2Bn, dV which is unbounded on any neighborhood of each boundary point of Bn such that Toeplitz operator Tu is a Schatten p-class ...
Jin Xia, Xiaofeng Wang, Guangfu Cao
doaj +1 more source
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
AIMS Mathematics, 2021 In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent $ q $-starlike functions. These problems include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem ...
Huo Tang +3 more
semanticscholar +1 more source
Commuting Quasihomogeneous Toeplitz Operator and Hankel Operator on Weighted Bergman Space
Abstract and Applied Analysis, 2013 We characterize the commuting Toeplitz operator and Hankel operator with quasihomogeneous symbols. Also, we use it to show the necessary and sufficient conditions for commuting Toeplitz operator and Hankel operator with ordinary functions.
Jun Yang
doaj +1 more source
Generalized Crofoot transform and applications
Concrete Operators, 2023 Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
doaj +1 more source