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Discrete Ahlfors–Beurling transform and its properties
Rashid A. Alievab, Aynur N. Ahmadovac a Baku State University, Baku, AZ 1148, Azerbaijan
b Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, AZ 1141,
Azerbaijan
c Sumgait State University, Sumgait, AZ 5008, Azerbaijan
Аннотация:
The Ahlfors–Beurling transform has been well studied on classical Lebesgue, Morrey, Sobolev, Besov, Campanato, etc. spaces. However, its discrete version is still not studied well. In this paper, we study the properties of the discrete Ahlfors–Beurling transform on discrete Lebesgue spaces.
Ключевые слова:
discrete Ahlfors–Beurling transform, Lebesgue spaces, boundedness.
Поступила в редакцию: 06.12.2019 Исправленный вариант: 05.04.2020 Принята в печать: 06.04.2020
Образец цитирования:
Rashid A. Aliev, Aynur N. Ahmadova, “Discrete Ahlfors–Beurling transform and its properties”, Пробл. анал. Issues Anal., 9(27):2 (2020), 3–15
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa293 https://www.mathnet.ru/rus/pa/v27/i2/p3
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