BOUNDEDNESS OF THE DISCRETE AHLFORS-BEURLING TRANSFORM ON DISCRETE WEIGHTED LEBESGUE SPACES

Authors

• Amil F. Jabiyev, Baku State University

Page

100-109

Abstract

The Ahlfors-Beurling transform is one of the important operators in complex analysis. This transform plays a crucial role in applications to the theory of quasiconformal mappings and to the Beltrami equation with discontinuous coefficients. The AhlforsBeurling transform has been studied on classical Lebesgue, Morrey, Sobolev, Besov, etc. spaces. However, its discrete version has not been well studied. In this paper, we prove that the discrete Ahlfors-Beurling transform is the bounded operator in discrete weighted Lebesgue spaces.

Recommended Citation

F. Jabiyev, Amil (2026) "BOUNDEDNESS OF THE DISCRETE AHLFORS-BEURLING TRANSFORM ON DISCRETE WEIGHTED LEBESGUE SPACES," Baku Mathematical Journal: Vol. 5: Iss. 1, Article 10.
DOI: 10.32010/j.bmj.2026.10
Available at: https://www.bakumathj.org/home/vol5/iss1/10