Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane

DOI10.1134/S0001434617030142zbMath1443.47031OpenAlexW2608483908MaRDI QIDQ2364553

Young-Bok Chung

Publication date: 21 July 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617030142

zbMATH Keywords

Hardy spaceToeplitz operatorLaurent operatorSzegő kernelAhlfors map

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Kernel functions in one complex variable and applications (30C40) Hardy spaces (30H10)

Related Items (5)

Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane ⋮ Unnamed Item ⋮ COMPUTATION OF THE MATRIX OF THE TOEPLITZ OPERATOR ON THE HARDY SPACE ⋮ Unnamed Item ⋮ COMPUTATION OF HANKEL MATRICES IN TERMS OF CLASSICAL KERNEL FUNCTIONS IN POTENTIAL THEORY

Cites Work

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• The Szegö projection and the classical objects of potential theory in the plane
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane
• Complexity of the classical kernel functions of potential theory
• Commutants of analytic Toeplitz operators on the Bergman space
• Schwarz's Lemma and the Szego Kernel Function
• A Commutativity Theorem for Normal Operators

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