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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 2, Pages 3–15
DOI: https://doi.org/10.15393/j3.art.2020.7390 (Mi pa293) 		 
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
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DOI: https://doi.org/10.15393/j3.art.2020.7390
Abstract: 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.
Keywords: discrete Ahlfors–Beurling transform, Lebesgue spaces, boundedness.
Received: 06.12.2019
Revised: 05.04.2020
Accepted: 06.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.521.1, 517.518.13
MSC: 44A15, 40A05, 46B45, 42B35
Language: English
Citation: Rashid A. Aliev, Aynur N. Ahmadova, “Discrete Ahlfors–Beurling transform and its properties”, Probl. Anal. Issues Anal., 9(27):2 (2020), 3–15
Citation in format AMSBIB
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\by Rashid~A.~Aliev, Aynur~N.~Ahmadova
\paper Discrete Ahlfors--Beurling transform and its properties
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 2
\pages 3--15
\mathnet{http://mi.mathnet.ru/pa293}
\crossref{https://doi.org/10.15393/j3.art.2020.7390}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000541846500001}
\elib{https://elibrary.ru/item.asp?id=45498239}
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