Enviar artigo por via de e-mail A Littlewood-Paley-Rubio de Francia inequality for bounded Vilenkin systems
- Autores: Tselishchev A.S.1
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Afiliações:
- St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 212, Nº 10 (2021)
- Páginas: 152-164
- Seção: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/142347
- DOI: https://doi.org/10.4213/sm9482
- ID: 142347
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Resumo
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.
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Sobre autores
Anton Tselishchev
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Email: celis-anton@yandex.ru
Bibliografia
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- С. В. Кисляков, Д. В. Парилов, “О теореме Литлвуда–Пэли для произвольных интервалов”, Исследования по линейным операторам и теории функций. 33, Зап. науч. сем. ПОМИ, 327, ПОМИ, СПб., 2005, 98–114
- N. N. Osipov, “Littlewood–Paley–Rubio de Francia inequality for the Walsh system”, Алгебра и анализ, 28:5 (2016), 236–246
- J. L. Rubio de Francia, “A Littlewood–Paley inequality for arbitrary intervals”, Rev. Mat. Iberoamericana, 1:2 (1985), 1–14
- P. Simon, “Investigations with respect to the Vilenkin system”, Ann. Univ. Sci. Budapest. Eötvös Sect. Math., 27 (1984), 87–101
- Н. Я. Виленкин, “Об одном классе полных ортонормальных систем”, Изв. АН СССР. Сер. матем., 11:4 (1947), 363–400
- Ch. Watari, “On generalized Walsh Fourier series”, Tohoku Math. J. (2), 10:3 (1958), 211–241
- F. Weisz, Martingale Hardy spaces and their applications in Fourier analysis, Lecture Notes in Math., 1568, Springer-Verlag, Berlin, 1994, viii+218 pp.
- Wo-Sang Young, “Littlewood–Paley and multiplier theorems for Vilenkin–Fourier series”, Canad. J. Math., 46:3 (1994), 662–672
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