Weighted Sobolev spaces on curves

DOI10.1006/jath.2002.3709zbMath1019.46026OpenAlexW2051516705MaRDI QIDQ1867513

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

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6486

zbMATH Keywords

multiplication operatordensity of polynomialsSobolev space on a curve

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

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 ⋮ On integral Sombor indices ⋮ 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 ⋮ Measurable diagonalization of positive definite matrices ⋮ Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials ⋮ The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials ⋮ Weierstrass' theorem with weights ⋮ Asymptotic of extremal polynomials in the complex plane

Cites Work

• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Orthogonal polynomials and approximation in Sobolev spaces
• Orthogonal polynomials of Sobolev type on the unit circle
• Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function
• Sobolev orthogonal polynomials in the complex plane
• Weierstrass' theorem in weighted Sobolev spaces
• The multiplication operator in Sobolev spaces with respect to measures
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