An algebra of integral operators with fixed singularities in kernels

DOI10.1007/BF01291835zbMath0931.47059OpenAlexW1989423394MaRDI QIDQ1293859

N. Ya. Krupnik, Roland Duduchava, Eugene Shargorodsky

Publication date: 14 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01291835

zbMATH Keywords

local normsalgebras generated by the Cauchy singular integral operatorcurves with cuspsintegral operators with fixed singularitiesweighted \(L_q\)-space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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)

Related Items (1)

On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces

Cites Work

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• On algebras generated by convolutions and discontinuous functions
• A general look at local principles with special emphasis on the norm computation aspect
• On the norm of polynomials of two adjoint projections
• On the norm of singular integral operator on curves with cusps
• Singular integral operators with the complex conjugation on curves with cusps
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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