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Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021; 93 (1)

We consider dual Toeplitz operators acting on the orthogonal complements of the Fock spaces over the higher dimensional complex space. We then conside......

A New Characterization of Carleson Measures on the Unit Ball of C-n

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021; 93 (5)

We provide a new characterization for Carleson measures in terms of the L-p (S-n) norms of certain functions in admissible approach regions on the uni......

Power Set of Some Quasinilpotent Weighted Shifts

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021; 93 (3)

For a quasinilpotent bounded linear operator T, we write kx = lim sup(z -> 0) log parallel to(z-T)(-1)x parallel to/log parallel to(z-T)(-1)paralle......

Complex Symmetric Toeplitz Operators

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021; 93 (2)

This paper aims to study when a Toeplitz operator T-phi on the Hardy space H-2 of the unit disk is complex symmetric, that is, T-phi admits a symmetri......

Essential Normality for Beurling-Type Quotient Modules over Tube-Type Domains

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021; 93 (1)

In this note we investigate the essential normality of the Beurling-type quotient module D:=H2(Omega)circle minus eta H2(Omega) with an inner function......

Products of Toeplitz and Hankel Operators on Fock Spaces

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2020; 92 (3)

In this paper, we characterize bounded Toeplitz product TfTg and Hankel product H * fHg on Fock space F 2 a for two polynomials f and g in z and z. As......

Inverse Problem for a Stieltjes String Damped at an Interior Point

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2020; 92 (4)

In this paper, we consider the spectral problem for a Stieltjes string with both ends fixed and with one-dimensional damping at an interior point. We ......

Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2020; 92 (4)

It is well known the kernel of a Toeplitz operator is nearly invariant under the backward shift S*. This paper shows that kernels of finite rank pertu......

Non-Archimedean Radial Calculus: Volterra Operator and Laplace Transform

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2020; 92 (6)

In an earlier paper (A. N. Kochubei, Pacif. J. Math. 269 (2014), 355-369), the author considered a restriction of Vladimirov's fractional differentiat......

The First Szego Theorem for the Bergman-Toeplitz Matrix

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2020; 92 (6)

In this paper, we study the asymptotic behavior of the determinants of Bergman-Toeplitz matrices with symbols in H-infinity(D) + C((D) over bar). We e......

Integrability of Mean Oscillation with Applications to Hankel Operators

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019; 91 (1)

We introduce and study a family of Banach spaces IMOps,sigma of functions on the open unit ball Bn in Cn, defined by an integrability condition of the......

JIF:0.65

Volterra Type Operators Between Bloch Type Spaces and Weighted Banach Spaces

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019; 91 (2)

When the weight is more general than normal, the complete characterizations in terms of the symbol g and weights for the conditions of the boundedness......

JIF:0.65

On Joint Functional Calculus for Ritt Operators

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019; 91 (2)

In this paper, we study joint functional calculus for commuting n-tuple of Ritt operators. We provide an equivalent characterisation of boundedness fo......

JIF:0.65

Weak Factorization and Hankel Forms for Bergman-Orlicz Spaces on the Unit Ball

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019; 91 (2)

Let Bn be the unit ball of Cn and A phi(Bn) be the Bergman-Orlicz space, consisting of holomorphic functions in L phi(Bn). We characterize bounded Han......

JIF:0.65

Weak Type Estimates of Singular Integral Operators on Morrey-Banach Spaces

期刊: INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019; 91 (3)

We establish the weak type estimates of singular integral operators on Morrey spaces built on Banach function space. In particular, we have these weak......

JIF:0.65

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