Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems

Author:

Saker S.H.1,Agarwal R.P.2

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Galala University, Galala New City, Egypt + Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

2. Department of Mathematics, Texas A & M University- Kingsvilie, Texas, USA

Abstract

In this paper, we will prove a discrete Rubio De Francia extrapolation theorem in the theory of discrete Ap? Muckenhoupt weights for which the discrete Hardy-Littlewood maximal operator is bounded on ?p w (Z+). The results will be proved by employing the self-improving property of the discrete Ap? Muckenhoupt weights and the Marcinkiewicz Interpolation Theorem.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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