Results 1 - 10 of 753

STRICT CONVEXITY OF SOME SUBSETS OF HANKEL OPERATORS

by Caixing Gu, Jonathan, E. Shapiro
"... Abstract. We find some extreme points in the unit ball of the set of Hankel operators and show that the unit ball of the set of compact Hankel operators is strictly convex. We use this result to show that the collection of N × N lower triangular Toeplitz contractions is strictly convex. We also find ..."
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Abstract. We find some extreme points in the unit ball of the set of Hankel operators and show that the unit ball of the set of compact Hankel operators is strictly convex. We use this result to show that the collection of N × N lower triangular Toeplitz contractions is strictly convex. We also

A Singular Value Thresholding Algorithm for Matrix Completion

by Jian-Feng Cai, Emmanuel J. Candès, Zuowei Shen , 2008
"... This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxation of a rank minimization problem, and arises in many important applications as in the task of reco ..."
Abstract - Cited by 555 (22 self) - Add to MetaCart
This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxation of a rank minimization problem, and arises in many important applications as in the task

Compactness of products of Hankel operators on convex

by Reinhardt Domains, In C
"... Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols φ and ψ are continuous on Ω and harmonic on the disks in the boundary of Ω. We show that if the product of Hankel operators H∗ψHφ is compact on the Bergman space of Ω, then on any disk in the boundar ..."
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Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols φ and ψ are continuous on Ω and harmonic on the disks in the boundary of Ω. We show that if the product of Hankel operators H∗ψHφ is compact on the Bergman space of Ω, then on any disk

On Hankel Operators on Hardy and Bergman Spaces and Related Questions

by Aline Bonami, Marco M. Peloso, Fr, Frederic Symesak
"... In this partly expository paper we analyze the (small) Hankel operator h b on Hardy and Bergman spaces on a class of smoothly bounded domains of nite type in C which includes the strictly pseudoconvex domains and the convex domains. ..."
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In this partly expository paper we analyze the (small) Hankel operator h b on Hardy and Bergman spaces on a class of smoothly bounded domains of nite type in C which includes the strictly pseudoconvex domains and the convex domains.

HANKEL OPERATORS AND THE DIXMIER TRACE ON STRICTLY PSEUDOCONVEX DOMAINS

by Genkai Zhang
"... Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in Cn. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbol ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in Cn. The answer turns out to involve the dual Levi form evaluated on boundary derivatives

HANKEL OPERATORS AND WEAK FACTORIZATION FOR HARDY-ORLICZ SPACES

by Aline Bonami, Sandrine Grellier , 902
"... This paper is dedicated to the memory of Andrzej Hulanicki who was a colleague, a friend we will never forget. Abstract. We study the holomorphic Hardy-Orlicz spaces H Φ (Ω), where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in C n. The fun ..."
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This paper is dedicated to the memory of Andrzej Hulanicki who was a colleague, a friend we will never forget. Abstract. We study the holomorphic Hardy-Orlicz spaces H Φ (Ω), where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in C n

Powers of the Szegö Kernel and Hankel Operators on Hardy Spaces

by Al Ine Bonam I, Marc O M. Peloso, Frédér Ic Syme Sak
"... In this paper we study the action of certain integral operators on spaces of holo-morphic functions on some domains in Cn: These integral operators are defined by using powers of the Szegö kernel as integral kernel. We show that they act like differential operators, or like pseudo-differential opera ..."
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-differential operators of not necessarily in-tegral order. These operators may be used to give equivalent norms for the Besov spaces Bp of holomorphic functions. As a consequence we prove that, when 1 p < 1; the small Hankel operators hf on Hardy and weighted Bergman spaces are in the Schatten class Sp if and only

A Generalization Of Hankel Operators

by Rubén A. Martínez-Avendaño , 2000
"... We introduce a class of operators, called #--Hankel operators, as those that satisfy the operator equation S # X - XS = #X, where S is the unilateral forward shift and # is a complex number. We investigate some of the properties of #--Hankel operators, and show that much of their behaviour is simi ..."
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is similar to that of the classical Hankel operators (0--Hankel operators). In particular, we show that positivity of #--Hankel operators is equivalent to a generalized Hamburger moment problem. We show that certain linear spaces of non--invertible operators have the property that every compact subset

STRICTLY CONVEX CORNERS SCATTER

by Mikko Salo, Esa, V. Vesalainen
"... Abstract. We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than pi. This extends the earlier result of Bl̊asten, Päivärinta and Sylvester who considered rectangular corners. In three dimensions, we prove a similar result for any potential ..."
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potential with a circular conic corner whose opening angle is outside a countable subset of (0, pi). 1.

Documenta Math. 601 Hankel Operators and the Dixmier Trace on Strictly Pseudoconvex Domains

by Genkai Zhang, Communicated Patrick Delorme , 2009
"... Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in C n. The answer turns out to involve the dual Levi form evaluated on boundary derivatives of the symbo ..."
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Abstract. Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2n Hankel operators on Bergman spaces of strictly pseudoconvex domains in C n. The answer turns out to involve the dual Levi form evaluated on boundary derivatives
Results 1 - 10 of 753