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On generalized Toeplitz and little Hankel operators on Bergman spaces

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1 Published in 2017 at "Archiv der Mathematik"

DOI: 10.1007/s00013-017-1124-2

Abstract: We find a concrete integral formula for the class of generalized Toeplitz operators $$T_a$$Ta in Bergman spaces $$A^p$$Ap, $$1 read more here.

Keywords: generalized toeplitz; bergman spaces; operators bergman; little hankel ... See more keywords

Hankel operators on exponential Bergman spaces

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0 Published in 2021 at "Science China Mathematics"

DOI: 10.1007/s11425-020-1724-3

Abstract: We completely describe the boundedness and compactness of Hankel operators with general symbols acting on Bergman spaces with exponential type weights. read more here.

Keywords: bergman spaces; hankel operators; exponential bergman; operators exponential ... See more keywords

Essential Norm Estimates for Little Hankel Operators with Anti Holomorphic Symbols on the weighted Bergman Space of the Unit Disk

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1 Published in 2019 at "Complex Analysis and Operator Theory"

DOI: 10.1007/s11785-017-0752-7

Abstract: We give estimates for the essential norm of little Hankel operators with anti holomorphic symbols on weighted Bergman spaces of the unit disk in terms of the Bloch semi norm of its symbol function. read more here.

Keywords: essential norm; anti holomorphic; holomorphic symbols; little hankel ... See more keywords

On Hankel operators between Fock spaces

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1 Published in 2020 at "Banach Journal of Mathematical Analysis"

DOI: 10.1007/s43037-019-00043-z

Abstract: In this paper, we characterize the mapping properties of Hankel operators $$H_{g}$$ and $$ H_{\overline{g}}$$ associated to some restricted function g on the complex space $$\mathbf{C}^n$$. We, in particular, describe the boundedness and compactness of… read more here.

Keywords: hankel operators; operators fock; fock spaces;

Reflection positivity and Hankel operators—the multiplicity free case

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1 Published in 2022 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2022.109493

Abstract: We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility condition between representations… read more here.

Keywords: hankel; hankel operators; reflection positive; positive hankel ... See more keywords

Kernels and ranks of Hankel operators on the Dirichlet spaces

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1 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.02.002

Abstract: Abstract We consider Hankel operators and little Hankel operators on the Dirichlet space and pluriharmonic Dirichlet space of the unit ball. We first describe kernels of Hankel operators with pluriharmonic symbol. Next, we prove that… read more here.

Keywords: operators pluriharmonic; dirichlet space; operators dirichlet; hankel ... See more keywords

From Hankel Operators to Carleson Measures in a Quaternionic Variable

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0 Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s0013091516000626

Abstract: Abstract We 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. read more here.

Keywords: quaternionic variable; carleson measures; measures quaternionic; hankel operators ... See more keywords

On the Trace-Class Property of Hankel Operators Arising in the Theory of the Korteweg–de Vries Equation

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1 Published in 2018 at "Mathematical Notes"

DOI: 10.1134/s0001434618090067

Abstract: The trace-class property of Hankel operators (and their derivatives with respect to the parameter) with strongly oscillating symbol is studied. The approach used is based on Peller’s criterion for the trace-class property of Hankel operators… read more here.

Keywords: hankel operators; trace class; class property; property hankel ... See more keywords

PRODUCTS OF TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACES OF GENERALIZED HARTOGS TRIANGLES

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0 Published in 2023 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj.2023.53.285

Abstract: . The generalized Hartogs triangles H n { k i } ,γ are nonsmooth Reinhardt domains defined by where ( (cid:101) z 1 , · · · , (cid:102) z m ) = ( z… read more here.

Keywords: hartogs triangles; products toeplitz; toeplitz hankel; hankel operators ... See more keywords

The range of block Hankel operators

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1 Published in 2018 at "Filomat"

DOI: 10.2298/fil1809237h

Abstract: In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2 Cn and the left coprime factorization of its symbol. Given a… read more here.

Keywords: hankel operators; block hankel; range block;