Email this article A Littlewood-Paley-Rubio de Francia inequality for bounded Vilenkin systems
- Authors: Tselishchev A.S.1
-
Affiliations:
- St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 212, No 10 (2021)
- Pages: 152-164
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/142347
- DOI: https://doi.org/10.4213/sm9482
- ID: 142347
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Abstract
Rubio de Francia proved a one-sided Littlewood-Paley inequality for the square function constructed from an arbitrary system ofdisjoint intervals. Later, Osipov proved a similar inequality for Walsh systems. We prove a similar inequality for more general Vilenkin systems.Bibliography: 11 titles.
About the authors
Anton Sergeevich Tselishchev
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Email: celis-anton@yandex.ru
References
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