Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight

DOI10.1007/BF01200289zbMath0799.47013OpenAlexW2069915328MaRDI QIDQ1316477

Ilya M. Spitkovskij, Israel Gohberg, N. Ya. Krupnik

Publication date: 17 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf01200289

zbMATH Keywords

symbol calculusCarleson conditionone-dimensional linear singular integral operators with matrix valued piecewise continuous coefficient

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Linear operators in ({}^*)-algebras (47C10)

Related Items (13)

Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points ⋮ Singular integral operators for an unlimited contour ⋮ Singular integral operators on complicated contours and pseudodifferential operators ⋮ Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves ⋮ Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators ⋮ Pasting Muckenhoupt weights through a contact point between sets of different dimensions ⋮ On the Fredholm property of a class of convolution-type operators ⋮ The two straight line approach for periodic diffraction boundary-value problems ⋮ On pasting 𝐴_{𝑝}-weights ⋮ Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves ⋮ On the continuity of the spectrum in certain Banach algebras ⋮ Algebras of generalized Cauchy singular integral operators ⋮ Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights

Cites Work

• Singular integral operators with PC symbols on the spaces with general weights
• Extension theorems for Fredholm and invertibility symbols
• Weighted Norm Inequalities for Hilbert Transforms and Conjugate Functions of Even and Odd Functions
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