The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms

DOI10.1007/s10440-009-9541-2zbMath1200.33015OpenAlexW1973332137MaRDI QIDQ983680

José M. Rodríguez, Eva Tourís, Ana Portilla

Publication date: 24 July 2010

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

Full work available at URL: http://hdl.handle.net/10016/6448

zbMATH Keywords

multiplication operatorzero locationorthogonal polynomials in Sobolev spaces

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. I
• On polynomials orthogonal with respect to certain Sobolev inner products
• Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey
• A simple characterization of weighted Sobolev spaces with bounded multiplication operator
• Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials
• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Orthogonal polynomials of Sobolev type on the unit circle
• Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc
• Weighted Sobolev spaces on curves
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Asymptotic of extremal polynomials in the complex plane
• Sobolev orthogonal polynomials in the complex plane
• The multiplication operator in Sobolev spaces with respect to measures

This page was built for publication: The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms