SUBELLIPTIC BOURGAIN-BREZIS ESTIMATES ON GROUPS

Sagun Chanillo; Jean Van Schaftingen

doi:10.4310/MRL.2009.v16.n3.a9

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SUBELLIPTIC BOURGAIN-BREZIS ESTIMATES ON GROUPS

Journal article

Peer reviewed

SUBELLIPTIC BOURGAIN-BREZIS ESTIMATES ON GROUPS

Sagun Chanillo and Jean Van Schaftingen

Mathematical research letters, Vol.16(2-3), pp.487-501

03/01/2009

DOI: https://doi.org/10.4310/MRL.2009.v16.n3.a9

Abstract

Mathematics

Physical Sciences

Science & Technology

We show that divergence-free L(1) vector fields on a nilpotent homogeneous group of homogeneous dimension Q are in the dual space of functions whose gradient is in L(Q). This was previously obtained on R(n) by Bourgain and Brezis.

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Details

Title: SUBELLIPTIC BOURGAIN-BREZIS ESTIMATES ON GROUPS
Creators: Sagun Chanillo - Rutgers Sexual and Reproductive Health and Rights
Jean Van Schaftingen - UCLouvain
Publication Details: Mathematical research letters, Vol.16(2-3), pp.487-501
Date published: 03/01/2009
Publisher: INT PRESS
Number of pages: 15
Grant note: NSF; National Science Foundation (NSF) Fonds de la Recherche Scientifique FNRS; Fonds de la Recherche Scientifique - FNRS
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031758544404646