A note about the $l^p$-improving property of the average operators
Classical Analysis and ODEs
2019-10-30 v2
Abstract
In this paper we give a short proof of the -improving property of the average operator along the square integers and more general quadratic polynomials. Moreover we obtain a similar result for some higher degree polynomials. We also show an elementary proof of the -improving property of the average operator along primes.
Keywords
Cite
@article{arxiv.1910.12448,
title = {A note about the $l^p$-improving property of the average operators},
author = {José Madrid},
journal= {arXiv preprint arXiv:1910.12448},
year = {2019}
}
Comments
9 pages