Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes

Advances in Difference Equations

article

Saker, S. H.¹  Rabie, S. S.²  Alzabut, Jehad³  O’Regan, D.⁴  Agarwal, R. P.⁵ 

[1] Mathematics Division, Faculty of Advanced Basic Sciences, Galala University;Department of Mathematics, Faculty of Science, Mansoura University;Department of Mathematics and General Sciences, Prince Sultan University;School of Mathematics, National University of Ireland;Department of Mathematics, Texas A & M University-Kingsville

关键词: Discrete Gehring’s class;    Discrete Muchenhoupt’s class;    Self-improving properties;   

DOI  :  10.1186/s13662-020-03105-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we prove some basic properties of the discrete Muckenhoupt class$\mathcal{A}^{p}$ and the discrete Gehring class$\mathcal{G}^{q}$ . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.

【 授权许可】

CC BY