Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces

DOI10.1007/s00020-008-1566-9zbMath1153.47043OpenAlexW2128680972MaRDI QIDQ930456

Stefan G. Samko, Vladimir S. Rabinovich

Publication date: 30 June 2008

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

Full work available at URL: https://doi.org/10.1007/s00020-008-1566-9

zbMATH Keywords

pseudodifferential operators Fredholmness singular operators variable exponent generalised Lebesgue space Hörmander class

Mathematics Subject Classification ID

Pseudodifferential operators (47G30)

Related Items (18)

On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent ⋮ Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves ⋮ On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded ⋮ Fredholm Theory of Pseudodifferential Operators Acting in Variable Exponent Spaces of Bessel Potentials on Smooth Manifolds ⋮ Boundedness of non regular pseudodifferential operators on variable Besov spaces ⋮ On the interpolation constants for variable Lebesgue spaces ⋮ Algebras of continuous Fourier multipliers on variable Lebesgue spaces ⋮ Invertibility of Fourier convolution operators with \textit{pc} symbols on variable Lebesgue spaces with Khvedelidze weights ⋮ Pseudodifferential operators on Besov spaces of variable smoothness ⋮ Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves ⋮ Wavelet bases in Banach function spaces ⋮ On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces ⋮ Bounded and Fredholm properties of SG-pseudo-differential operators in variable exponent spaces ⋮ Operators of harmonic analysis in weighted spaces with non-standard growth ⋮ Interpolation in variable exponent spaces ⋮ Continuity of non-regular pseudodifferential operators on variable Triebel–Lizorkin spaces ⋮ The maximal operator on weighted variable Lebesgue spaces ⋮ Boundedness of Pseudodifferential Operators on Banach Function Spaces

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