Weighted Sobolev spaces: Markov-type inequalities and duality

Weighted Sobolev spaces: Markov-type inequalities and duality

Abstract Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type inequalities.

Bibliographic Details
Main Authors: Francisco Marcellán, Yamilet Quintana, José M. Rodríguez
Format: Article
Language:English
Published: Springer 2017-03-01
Series:Bulletin of Mathematical Sciences
Subjects:
Extremal problems
Markov-type inequality
Weighted Sobolev norm
Weighted $$L^{2}$$ L 2 -norm
Duality
Online Access:http://link.springer.com/article/10.1007/s13373-017-0104-y

Internet

http://link.springer.com/article/10.1007/s13373-017-0104-y

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