Parabolic weighted norm inequalities and partial differential equations
Analysis of PDEs
2016-12-13 v4 Classical Analysis and ODEs
Abstract
We investigate parabolic Muckenhoupt weights and functions of bounded mean oscillation (BMO) related to nonlinear parabolic partial differential equations. The main result gives a full characterization of weak and strong type weighted norm inequalities for parabolic forward in time maximal operators. In addition, we give a Jones type factorization result for the parabolic Muckenhoupt weights and a Coifman-Rochberg type characterization of the parabolic BMO from Moser's seminal paper through parabolic Muckenhoupt weights and maximal functions.
Cite
@article{arxiv.1410.1396,
title = {Parabolic weighted norm inequalities and partial differential equations},
author = {Juha Kinnunen and Olli Saari},
journal= {arXiv preprint arXiv:1410.1396},
year = {2016}
}
Comments
29 pages. To appear in Anal. PDE. Referee's corrections incorporated. Small change in the title