Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights

DOI10.1090/S0002-9947-99-02441-1zbMath0918.47025OpenAlexW1936124716MaRDI QIDQ4243639

Yuri I. Karlovich, Albrecht Böttcher

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02441-1

zbMATH Keywords

Hardy spacesingular integral operatorToeplitz operatorFredholm operatorMuckenhoupt conditionessential spectrasubmultiplicative functionCarleson conditionpiecewise continuous symbolsAhlfors-David curve

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators, Characterizations for the fractional maximal operators on Carleson curves in local generalized Morrey spaces, Potential operators in modified Morrey spaces defined on Carleson curves, Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves, Some properties of the potential operators in Morrey spaces defined on Carleson curves, On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators, Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces, Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces

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