Weighted Sobolev spaces: Markov-type inequalities and duality Articles

authors

published in

Bulletin of Mathematical Sciences Journal

publication date

August 2018

start page

233

end page

256

volume

8

Digital Object Identifier (DOI)

https://doi.org/10.1007/s13373-017-0104-y

full text

http://hdl.handle.net/10016/33765

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.

subjects

Mathematics

keywords

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