Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Reflexive Orlicz Spaces

DOI10.1002/mana.19961790112zbMath0873.47020OpenAlexW2061311068MaRDI QIDQ4890784

Alexei Yu. Karlovich

Publication date: 25 August 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19961790112

zbMATH Keywords

Riemann boundary value problemsymbol calculusBoyd indicesCarleson curvesreflexive Orlicz spacessingular integral operators with piecewise continuous coefficientsclosed algebra of singular integral operators with piecewise continuous matrix-valued coefficientscurves with corners and cuspslogarithmic spirals scrolling up at the same point

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) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on function spaces (general) (47B38) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05)

Related Items (19)

Trigonometric approximation in reflexive Orlicz spaces ⋮ On solvability of homogeneous Riemann boundary value problems in Hardy-Orlicz classes ⋮ Polynomial approximation in Smirnov-Orlicz classes ⋮ Approximation of functions by de la Vallée-Poussin sums in weighted Orlicz spaces ⋮ Unnamed Item ⋮ APPLICATIONS OF CESARO SUBMETHOD TO ` APPROXIMATION OF FUNCTIONS IN WEIGHTED ORLICZ SPACES ⋮ Unnamed Item ⋮ Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Fine spectra of the finite Hilbert transform in function spaces ⋮ Linear methods of summing Fourier series and approximation in weighted Orliczspaces ⋮ Approximation by rational functions in Smirnov-Orlicz classes ⋮ On approximation in weighted Smirnov–Orlicz classes ⋮ Unnamed Item ⋮ Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces ⋮ The index of singular integral operators in reflexive Orlicz spaces ⋮ On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces ⋮ Approximation by Faber-Laurent rational functions in variable exponent Morrey spaces ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces

Cites Work

• Unnamed Item
• Singular integral operators with piecewise continuous coefficients in reflexive Orlicz spaces
• Singular integral operators with regulated coefficients in reflexive Orlicz spaces
• Indices for the Orlicz spaces
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Indices of Function Spaces and their Relationship to Interpolation

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