Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces

DOI10.1007/S00009-017-0979-6OpenAlexW2742986736MaRDI QIDQ1679185

Yuri I. Karlovich

Publication date: 8 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0979-6

zbMATH Keywords

symbol calculusFredholmnessconvolution-type operatorpiecewise slowly oscillating functiontwo idempotents theorem

Mathematics Subject Classification ID

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

Related Items (3)

\(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers ⋮ Calkin images of Fourier convolution operators with slowly oscillating symbols

Cites Work

• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Convolution operators and factorization of almost periodic matrix functions
• Wiener-Hopf operators with semi-almost periodic matrix symbols on weighted Lebesgue spaces
• Wiener-Hopf integral operators with \(PC\) symbols on spaces with Muckenhoupt weight
• Multipliers for weighted \(L^p\)-spaces, transference, and the \(q\)-variation of functions
• Pseudodifferential operators with heavy spectrum
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• 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
• Wiener-Hopf operators with slowly oscillating matrix symbols on weighted Lebesgue spaces
• \(C^*\)-algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely
• Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data
• Fredholm Toeplitz Operators and Slow Oscillation
• Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions
• On Convolution Type Operators with Piecewise Slowly Oscillating Data
• A shift-invariant algebra of singular integral operators with oscillating coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces