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

publication date

  • August 2018

start page

  • 233

end page

  • 256

issue

  • 2

volume

  • 8

international standard serial number (ISSN)

  • 1664-3607

electronic international standard serial number (EISSN)

  • 1664-3615

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.

keywords


  • Extremal problems
    Markov-type inequality
    Weighted Sobolev norm Weighted
    L2 -norm Duality