Bourgain-Brezis Estimates on Symmetric Spaces of Non-compact Type

Autor:	Chanillo, Sagun, Van Schaftingen, Jean, Yung, Po-lam
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs Mathematics - Differential Geometry 35R03 43A80 53C35
Zdroj:	J. Funct. Anal. 273 (2017), no. 4, 1504-1547
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jfa.2017.05.005
Popis:	Let M be a globally Riemannian symmetric space. We prove a duality estimate between pairings of vector fields with divergence zero and and in L^1 with vector fields in a critical Sobolev space on M. As a consequence we get a sharp Calderon-Zygmund estimate for solutions to Poisson's equation on M, where the right side data is manufactured from divergence free vector fields which are in L^1. Such a result was proved earlier by Jean Bourgain and Haim Brezis on Euclidean space. Comment: Final version of the paper to appear in J. Functional Analysis
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1610.00503 Zobrazit plný text záznamu View this record from Arxiv