Normal singular integral operators with Cauchy kernel on \(L^2\)

DOI10.1007/s00020-013-2104-yzbMath1339.47066OpenAlexW2028700975MaRDI QIDQ469585

Takahiko Nakazi, Takanori Yamamoto

Publication date: 11 November 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-013-2104-y

zbMATH Keywords

Hardy spacesingular integral operatorHankel operatorToeplitz operatorself-adjoint operatorunitary operatorpositive operatornormal operator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05) Hardy spaces (30H10)

Related Items (27)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ On the dilation of truncated Toeplitz operators ⋮ A commutator approach to truncated singular integral operators ⋮ Unnamed Item ⋮ Normal singular Cauchy integral operators with operator-valued symbols ⋮ Unnamed Item ⋮ Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel ⋮ Some classes of singular integral equations of convolution type in the class of exponentially increasing functions ⋮ Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ Generalized convolution-type singular integral equations ⋮ Singular integral equations of convolution type with cosecant kernels and periodic coefficients ⋮ Hyponormality of the dilation of truncated Toeplitz operators ⋮ Properties of singular integral operators \(S_{\alpha,\beta}\) ⋮ Characterizations of dual truncated Toeplitz operators ⋮ EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE ⋮ Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions ⋮ On the dilation of truncated Toeplitz operators. II ⋮ Solvability of singular integro-differential equations via Riemann-Hilbert problem ⋮ Non-normal type singular integral-differential equations by Riemann-Hilbert approach ⋮ On quasinormality of singular integral operators with Cauchy kernel on \(L^2\) ⋮ Solvability theory of convolution singular integral equations via Riemann-Hilbert approach ⋮ The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION ⋮ Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method ⋮ Algebras of generalized Cauchy singular integral operators

Cites Work

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• Hyponormal Toeplitz Operators and Extremal Problems of Hardy Spaces
• An Introduction to Operators on the Hardy-Hilbert Space
• Hyponormality of Toeplitz Operators
• Generalized Interpolation in H ∞

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