Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences

Monika Singh, Amiran Gogatishvili, Rahul Panchal, Arun Pal Singh

Abstract

We prove the discrete Rubio de Francia extrapolation theorem for a pair of quasi non-increasing sequences with $\mathcal{QB}_{β, p}$ weight class. Also, a weight characterization of the boundedness of the generalized discrete Hardy averagin19g operator on the class of quasi non-increasing sequences from $l_w^p(\mathbb{Z}^+)$ is proved.

Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences

Abstract

We prove the discrete Rubio de Francia extrapolation theorem for a pair of quasi non-increasing sequences with weight class. Also, a weight characterization of the boundedness of the generalized discrete Hardy averagin19g operator on the class of quasi non-increasing sequences from is proved.
Paper Structure (3 sections, 85 equations)

This paper contains 3 sections, 85 equations.

Table of Contents

  1. Introduction
  2. Discrete generalized Hardy averaging operator
  3. Extrapolation Theorem on $\mathcal{Q}_\beta$

Theorems & Definitions (9)

  • proof
  • proof
  • proof
  • proof
  • proof
  • proof
  • proof
  • proof
  • proof