THEORY OF DISCRETE MUCKENHOUPT WEIGHTS AND DISCRETE RUBIO DE FRANCIA EXTRAPOLATION THEOREMS.

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 lwp (Z+). The results will be proved by employing the self-improving property of the discrete Ap- Muckenhoupt weights and the Marcinkiewicz Interpolation Theorem. [ABSTRACT FROM AUTHOR]