A shift-invariant algebra of singular integral operators with oscillating coefficients

DOI10.1007/BF01203324zbMath0998.47032MaRDI QIDQ5937211

Enrique Ramírez de Arellano, Yuri I. Karlovich

Publication date: 1 December 2002

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

zbMATH Keywords

coefficients admitting semi-almost periodic discontinuitiesFredholm theoryindex formulaMuckenhoupt weightsshift-invariant algebrassymbol calculusweighted Lebesgue spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items

Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study ⋮ A nonlocal \(C^*\)-algebra of singular integral operators with shifts having periodic points

Cites Work

• Singular integral operators with PC symbols on the spaces with general weights
• The index of singular integral operators in reflexive Orlicz spaces
• Pseudodifferential operators with heavy spectrum
• Extension theorems for Fredholm and invertibility symbols
• Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves
• Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
• SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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