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 $\mathcal{QB}_{β, p}$ 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.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Approximation Theory and Sequence Spaces
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 March 2026
- Language
- EN
- Document type
- Preprint