Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces

DOI10.1007/BF01194990zbMath0923.47016MaRDI QIDQ1279793

Alexei Yu. Karlovich

Publication date: 31 October 1999

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

zbMATH Keywords

submultiplicative functionsRiemann boundary value problemsingular integral operatorsFredholm criterionpiecewise continuous coefficientsAllan-Douglas local principleBoyd and Zippin indiceslogarithmic leavesreflexive rearrangement-invariant spaces over Carleson curvesspirality indices

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05)

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Cites Work

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