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BOUNDEDNESS OF THE DISCRETE HILBERT TRANSFORM ON DISCRETE WEIGHTED MORREY SPACES

Дата публикации: 13-10-2026 11:36:54

Название: BOUNDEDNESS OF THE DISCRETE HILBERT TRANSFORM ON DISCRETE WEIGHTED MORREY SPACES
Авторы: Aliev, R. A.; Jabiyev, A. F.

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Название: BOUNDEDNESS OF THE DISCRETE HILBERT TRANSFORM ON DISCRETE WEIGHTED MORREY SPACES
Авторы: Aliev, R. A.
Jabiyev, A. F.
Дата публикации: 2026
Издатель: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Библиографическое описание: Aliev R. A. BOUNDEDNESS OF THE DISCRETE HILBERT TRANSFORM ON DISCRETE WEIGHTED MORREY SPACES / R. A. Aliev, A. F. Jabiyev. — Text : electronic // Ural Mathematical Journal. — 2026. — Volume 12. — № 1. — P. 16-25.
Аннотация: The Hilbert transform is a multiplier operator widely used in the theory of Fourier transforms. It was the motivation for the development of modern harmonic analysis. Its discrete version is also widely used in many areas of science and technology and plays an important role in digital signal processing. The essential motivation behind considering discrete transforms is that experimental data are most often not obtained in a continuous manner but are sampled at discrete time values. Since much of the data collected in both the physical sciences and engineering are discrete, the discrete Hilbert transform is a rather useful tool in these areas for the general analysis of this type of data. In this paper, we discuss the discrete Hilbert transform on discrete Weighted Morrey spaces and obtain its boundedness on these spaces.
Ключевые слова: DISCRETE HILBERT TRANSFORM
MORREY SPACES
WEIGHTED MORREY SPACES
DISCRETE MORREY SPACES
DISCRETE WEIGHTED MORREY SPACES
BOUNDEDNESS
URI: https://elar.urfu.ru/handle/10995/157783
Условия доступа: Creative Commons Attribution License
Текст лицензии: https://creativecommons.org/licenses/by/4.0/
Идентификатор РИНЦ: 91852789
EDN: EEWWJX
ISSN: 2414-3952
DOI: 10.15826/umj.2026.1.002
Сведения о поддержке: The authors would like to thank the anonymous reviewers for their constructive feedback and valuable suggestions that significantly improved the presentation of this work.
Источники: Ural Mathematical Journal. 2026. Volume 12. № 1
Располагается в коллекциях:Ural Mathematical Journal

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