Reconstruction Operator of Functions from the Sobolev Space

DOI10.1007/978-3-319-27466-9_12zbMath1358.46034OpenAlexW2494991441MaRDI QIDQ2813543

Nazerke Tleukhanova

Publication date: 24 June 2016

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27466-9_12

zbMATH Keywords

quadrature formulasFourier serieshyperbolic crossreconstruction operatorPitt inequality

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10)

Cites Work

• Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
• Trigonometric series with general monotone coefficients
• Interpolation formula for multiplicative transformations of functions of several variables
• Concerning the multipliers of Fourier series in the trigonometric system
• Weighted Fourier inequalities: New proofs and generalizations.
• An interpolation formula for functions of several variables.
• Interpolation theorems for anisotropic function spaces and their applications
• Theorems on Fourier series and power series
• Interpolation of Linear Operators
• Quadrature formulae for classes of functions of low smoothness
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