Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. I

DOI10.1023/B:ACAP.0000018790.82924.72zbMath1081.42024OpenAlexW3012611392MaRDI QIDQ702088

José M. Rodríguez, Elena Romera, Domingo Pestana, Venancio Alvarez

Publication date: 17 January 2005

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:acap.0000018790.82924.72

zbMATH Keywords

weightsorthogonal polynomialscompletenessSobolev spaces with respect to measures

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities for sums, series and integrals (26D15)

Related Items (14)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ A simple characterization of weighted Sobolev spaces with bounded multiplication operator ⋮ Weierstrass's theorem in weighted Sobolev spaces with \(k\) derivatives ⋮ Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials ⋮ Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms ⋮ Discrete-continuous Jacobi-Sobolev spaces and Fourier series ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces ⋮ A practical guide to compact infinite dimensional parameter spaces

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