Results 11 to 20 of about 956 (81)
Multivariate Analogue of Slant Toeplitz Operators
Hacettepe Journal of Mathematics and Statistics, 2020 This paper discusses several structural and fundamental properties of the kth-order slant Toeplitz operators on the Lebesgue space of the ntorus Tn, for integers k ≥ 2 and n ≥ 1. We obtain certain equivalent conditions for the commutativity and essential
Gopal Datt, Shesh Kumar Pandey
semanticscholar +1 more source
A lower bound in Nehari's theorem on the polydisc [PDF]
, 2011 By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) with analytic symbol \psi, then there is a function \phi in L ...
H. Helson +7 more
core +3 more sources
On Determinant Expansions for Hankel Operators
Concrete Operators, 2020 Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
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Hyponormal Toeplitz operators with polynomial symbols on weighted Bergman spaces
Journal of Inequalities and Applications, 2014 In this note we consider the hyponormality of Toeplitz operators Tφ on weighted Bergman space Aα2(D) with symbol in the class of functions f+g¯ with polynomials f and g.MSC:47B20, 47B35.
I. Hwang, Jongrak Lee, S. W. Park
semanticscholar +2 more sources
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
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Functions of self‐adjoint operators in ideals of compact operators
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 157-176, February 2017., 2017 Abstract For self‐adjoint operators A,B, a bounded operator J, and a function f:R→C, we obtain bounds in quasi‐normed ideals of compact operators for the difference f(A)J−Jf(B) in terms of the operator AJ−JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t)=|t|γ with γ∈(0,1).
Alexander V. Sobolev
wiley +1 more source
Mean Lipschitz spaces and a generalized Hilbert operator [PDF]
, 2017 If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ...
Merchán, Noel
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Hyponormal Toeplitz operators on the Bergman space
, 2017 A Hilbert space operator is hyponormal if T ∗T − TT ∗ is positive. We consider hyponormality of Toeplitz operators on the Bergman space with a symbol in the class of f + g where f is a monomial and g is a polynomial.
Houcine Sadraoui, M. Guediri
semanticscholar +1 more source
Harmonic Hardy space and their operators
, 2020 Let H2 be the Hardy space on the unit disk. For inner functions u and v , the harmonic Hardy space H2 u,v is defined by H 2 u,v = uH 2 ⊕ vzH2 . Assume one of u and v is a nonconstant, then H2 u,v is a proper closed subspace of L 2(∂D) . We can define the
Xuanhao Ding, Yueshi Qin, Yuanqi Sang
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Lipschitz estimates for the Berezin transform
Journal of Function Spaces, Volume 8, Issue 2, Page 103-128, 2010., 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. Xia, we show that for any bounded operator X on A2(μm) , the Berezin transform of X satisfies Lipschitz estimates.
Hélène Bommier-Hato, Miroslav Engliš
wiley +1 more source