Some non-standard biparametric Poincar\'e type inequalities through harmonic analysis
Classical Analysis and ODEs
2021-09-24 v1
Abstract
We show some non-standard Poincar\'e type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploiting the interplay between maximal functions and fractional integrals. We also provide a sharper result by using extrapolation techniques.
Cite
@article{arxiv.2109.10994,
title = {Some non-standard biparametric Poincar\'e type inequalities through harmonic analysis},
author = {María Eugenia Cejas and Carolina Mosquera and Carlos Pérez and Ezequiel Rela},
journal= {arXiv preprint arXiv:2109.10994},
year = {2021}
}