Algebra of singular integral operators of the Lebesgue space with a Muckenhoupt weight on a closed Carleson curve

zbMath0963.47032MaRDI QIDQ1593944

Albrecht Böttcher, Yuri I. Karlovich

Publication date: 28 January 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

index formulasymbol calculusBanach algebra of singular integral operatorsFredholm criterionMuckenhoupt classCarleson curverectifiable Jordan curveCarleson-Jordan curveoperators of multiplication by piecewise continuous functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) Integral equations with kernels of Cauchy type (45E05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

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