The multiplication operator in Sobolev spaces with respect to measures

DOI10.1006/jath.2000.3543zbMath1014.42020OpenAlexW2092632066MaRDI QIDQ5933474

José M. Rodríguez

Publication date: 5 July 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3543

zbMATH Keywords

weighted Sobolev spacesSobolev orthogonal polynomialsmultiplication operator

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)

Related Items (20)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line ⋮ 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 ⋮ On a class of Sobolev scalar products in the polynomials. ⋮ 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 ⋮ Weierstrass' theorem in weighted Sobolev spaces ⋮ 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 ⋮ Boundedness properties for Sobolev inner products ⋮ Weierstrass' theorem with weights ⋮ Asymptotic of extremal polynomials in the complex plane ⋮ Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures ⋮ Weighted Sobolev spaces on curves ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

Cites Work

• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Orthogonal polynomials and approximation in Sobolev spaces
• Hardy's inequality with weights
• Weighted Norm Inequalities for the Hardy Maximal Function
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