Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points

DOI10.1007/BF01208347zbMath0823.47027OpenAlexW2070225186MaRDI QIDQ1893853

Albrecht Böttcher, Yuri I. Karlovich

Publication date: 7 August 1995

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

Full work available at URL: https://doi.org/10.1007/bf01208347

zbMATH Keywords

essential spectrumsymbol calculusMuckenhoupt weightclass of Carleson curvessingular integral operators with piecewise continuous coefficientsToeplitz operators with piecewise continuous symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

Algebras of singular integral operators on composed contours with whirl points ⋮ Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators ⋮ Fine spectra of the finite Hilbert transform in function spaces ⋮ Submultpilicative fuctions and spectral theory of toeplitz operators ⋮ Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces ⋮ The index of singular integral operators in reflexive Orlicz spaces ⋮ Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights

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