Email this article Approximation of polynomials in the Haar system in weighted symmetric spaces
- Authors: Volosivets S.S.1
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Affiliations:
- Chernyshevskii Saratov National Research State University
- Issue: Vol 99, No 5-6 (2016)
- Pages: 643-651
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149384
- DOI: https://doi.org/10.1134/S0001434616050035
- ID: 149384
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Abstract
For weighted symmetric (or rearrangement-invariant) spaces with nontrivial Boyd indices and weights from suitable Muckenhoupt classes, the basis property of the Haar system in these spaces and two versions of the direct theorem on the approximation by polynomials in the Haar system are established.
About the authors
S. S. Volosivets
Chernyshevskii Saratov National Research State University
Author for correspondence.
Email: VolosivetsSS@mail.ru
Russian Federation, Saratov
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