Weighted Sobolev spaces: Markov-type inequalities and duality Articles uri icon

publication date

  • August 2018

start page

  • 233

end page

  • 256


  • 8

International Standard Serial Number (ISSN)

  • 1664-3607

Electronic International Standard Serial Number (EISSN)

  • 1664-3615


  • 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.


  • Mathematics


  • extremal problems; markov-type inequality; weighted sobolev norm; weighted l2-norm; duality