Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems

Anton Tselishchev

doi:10.1016/j.jat.2023.106006

Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems

Anton Tselishchev

Research output: Contribution to journal › Article › peer-review

Abstract

Rubio de Francia proved the one-sided version of Littlewood–Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vilenkin systems (that is, for functions on infinite products of cyclic groups). There are no assumptions on the orders of these groups.

Original language	English
Article number	106006
Number of pages	31
Journal	Journal of Approximation Theory
Volume	298
Issue number	298
DOIs	https://doi.org/10.1016/j.jat.2023.106006
Publication status	Published - Mar 2024

Fields of science

101002 Analysis
101032 Functional analysis

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Digital Transformation

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10.1016/j.jat.2023.106006

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title = "Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems",

abstract = "Rubio de Francia proved the one-sided version of Littlewood–Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vilenkin systems (that is, for functions on infinite products of cyclic groups). There are no assumptions on the orders of these groups.",

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AB - Rubio de Francia proved the one-sided version of Littlewood–Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vilenkin systems (that is, for functions on infinite products of cyclic groups). There are no assumptions on the orders of these groups.

UR - https://www.scopus.com/pages/publications/85178328556

U2 - 10.1016/j.jat.2023.106006

DO - 10.1016/j.jat.2023.106006

M3 - Article

SN - 0021-9045

VL - 298

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 298

M1 - 106006

ER -

Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems

Abstract

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