Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials

DOI10.1016/j.jmaa.2013.05.036zbMath1316.42031arXiv1212.2373OpenAlexW2963688434MaRDI QIDQ2257672

Elena Romera, Domingo Pestana, José M. Rodríguez, Eduardo Colorado

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2373

zbMATH Keywords

weighted Sobolev spacesmultiplication operatorMuckenhoupt inequalityzero locationweight, Sobolev orthogonal polynomials

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ Measurable diagonalization of positive definite matrices ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

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