L^p estimates for Baouendi-Gru
Analysis of PDEs
2020-11-18 v1
Abstract
We prove L^p estimates for the Baouendi-Grushin operator L=Delta_x+|x|^\alpha Delta_y in L^p(R^N+M), 1 < p < 1, where x belongs to R^N; y belongs to R^M. When p = 2 more general weights belonging to Reverse Holder classes are allowed.
Cite
@article{arxiv.1907.10439,
title = {L^p estimates for Baouendi-Gru},
author = {L. Negro and G. Metafune and C. Spina},
journal= {arXiv preprint arXiv:1907.10439},
year = {2020}
}