AREA INTEGRAL ESTIMATES FOR HIGHER-ORDER ELLIPTIC-EQUATIONS AND SYSTEMS

Authors
DAHLBERG BEJ KENIG CE PIPHER J VERCHOTA GC
Citation
Bej. Dahlberg et al., AREA INTEGRAL ESTIMATES FOR HIGHER-ORDER ELLIPTIC-EQUATIONS AND SYSTEMS, Annales de l'Institut Fourier, 47(5), 1997, pp. 1425
Citations number
35
Journal title
Annales de l'Institut Fourier → ACNP
ISSN journal
03730956
Volume
47
Issue
5
Year of publication
1997
Database
ISI
SICI code
0373-0956(1997)47:5<1425:AIEFHE>2.0.ZU;2-X
Abstract
Let L be an elliptic system of higher order homogeneous partial differ ential operators. We establish in this article the equivalence in L-P norm between the maximal function and the square function of solutions to L in Lipschitz domains. Several applications of this result are di scussed.