Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data

DOI10.1007/S00020-011-1877-0zbMath1239.47040arXiv1010.5336OpenAlexW4237831058MaRDI QIDQ649045

Amarino B. Lebre, Alexei Yu. Karlovich, Yuri I. Karlovich

Publication date: 30 November 2011

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

Full work available at URL: https://arxiv.org/abs/1010.5336

zbMATH Keywords

Fredholm propertyCauchy singular integral operatorslowly oscillating functionorientation-preserving non-Carleman shiftlimit operatorsAllan-Douglas local principle

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations with kernels of Cauchy type (45E05) Pseudodifferential operators (47G30)

Related Items (11)

On a weighted singular integral operator with shifts and slowly oscillating data ⋮ One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data ⋮ Fredholmness of Nonlocal Singular Integral Operators with Slowly Oscillating Data ⋮ \(C^\ast\)-algebras of poly-Bergman type operators with piecewise slowly oscillating coefficients ⋮ On Singular Integral Operators with Shifts ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness ⋮ Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data ⋮ The index of weighted singular integral operators with shifts and slowly oscillating data ⋮ C*-algebras of Bergman type operators with piecewise slowly oscillating coefficients over domains with Dini-smooth corners ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

Cites Work

• Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data
• Convolution operators and factorization of almost periodic matrix functions
• Wiener-Hopf operators with semi-almost periodic matrix symbols on weighted Lebesgue spaces
• Limit operators and their applications in operator theory
• Weak convergence of inner superposition operators
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