Hankel operators on the Hardy space

2007 ◽  
pp. 285-302
Author(s):  
Kehe Zhu
Keyword(s):  
Hardy Space ◽  
Hankel Operators

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

Hankel Operators on Pseudoconvex Domains of Finite Type in ℂ2

1998 ◽  
Vol 50 (3) ◽  
pp. 658-672 ◽  
Author(s):  
Frédéric Symesak
Keyword(s):  
Hardy Space ◽  
Finite Type ◽  
Pseudoconvex Domain ◽  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bergman Spaces ◽  
Pseudoconvex Domains ◽  
Sufficient Condition ◽  
Schatten Class ◽  
Strictly Pseudoconvex Domain

AbstractThe aimof this paper is to study small Hankel operators h on the Hardy space or on weighted Bergman spaces,where Ω is a finite type domain in ℂ2 or a strictly pseudoconvex domain in ℂn. We give a sufficient condition on the symbol ƒ so that h belongs to the Schatten class Sp, 1 ≤ p < +∞.

scholarly journals From Hankel Operators to Carleson Measures in a Quaternionic Variable

2017 ◽  
Vol 60 (3) ◽  
pp. 565-585 ◽  
Author(s):  
Nicola Arcozzi ◽  
Giulia Sarfatti
Keyword(s):  
Hardy Space ◽  
Hankel Operators ◽  
Carleson Measures ◽  
Regular Functions

AbstractWe introduce and study Hankel operators defined on the Hardy space of regular functions of a quaternionic variable. Theorems analogous to those of Nehari and Fefferman are proved.

Kernels of Hankel operators on the Hardy space over the bidisk

2019 ◽  
Vol 13 (3) ◽  
pp. 612-626
Author(s):  
Kei Ji Izuchi ◽  
Kou Hei Izuchi ◽  
Yuko Izuchi
Keyword(s):  
Hardy Space ◽  
Hankel Operators

scholarly journals Images of Hankel operators on the polydisk

1999 ◽  
Vol 59 (3) ◽  
pp. 403-408 ◽  
Author(s):  
Boo Rim Choe ◽  
Young Joo Lee
Keyword(s):  
Hardy Space ◽  
Hankel Operators

We study images of Hankel operators on the Bergman or Hardy space of the poly-disk. We give characterisations of pairs of antiholomorphic symbols inducing Hankel operators whose images are mutually orthogonal.

scholarly journals Hankel measures on Hardy space

2000 ◽  
Vol 62 (1) ◽  
pp. 135-140 ◽  
Author(s):  
Jie Xiao
Keyword(s):  
Hardy Space ◽  
Unit Disk ◽  
Hankel Operators ◽  
Carleson Measures ◽  
Open Unit ◽  
Open Unit Disk

We characterise the complex measures μ on the open unit disk D such that for all f in the Hardy space H2. The characterisation involves Carleson measures, the duality between H1 and BMOA, and Hankel operators.

scholarly journals Hankel operators and the Dixmier trace on the Hardy space

2016 ◽  
Vol 94 (2) ◽  
pp. 337-356 ◽  
Author(s):  
Miroslav Engliš ◽  
Genkai Zhang
Keyword(s):  
Hardy Space ◽  
Hankel Operators ◽  
Dixmier Trace

scholarly journals Existence of solutions of extremal problems in H1

1991 ◽  
Vol 34 (1) ◽  
pp. 99-112 ◽  
Author(s):  
Takahiko Nakazi
Keyword(s):  
Hardy Space ◽  
Linear Functional ◽  
Existence Of Solutions ◽  
Bounded Function ◽  
Hankel Operators ◽  
Extremal Problems ◽  
Closed Unit Ball ◽  
Continuous Linear ◽  
Continuous Linear Functional

An essentially bounded function on the unit circle gives a continuous linear functional on the Hardy space H1. In this paper we study when there exists at least one function which attains its norm. We apply the results to an interpolation problem, Hankel operators and a characterization of exposed points of the closed unit ball of H1.

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