HOLDER-CONTINUITY OF THE SOLUTIONS FOR OPERATORS WHICH ARE A SUM OF SQUARES OF VECTOR-FIELDS PLUS A POTENTIAL

Authors
CITTI G DIFAZIO G
Citation
G. Citti et G. Difazio, HOLDER-CONTINUITY OF THE SOLUTIONS FOR OPERATORS WHICH ARE A SUM OF SQUARES OF VECTOR-FIELDS PLUS A POTENTIAL, Proceedings of the American Mathematical Society, 122(3), 1994, pp. 741-750
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
3
Year of publication
1994
Pages
741 - 750
Database
ISI
SICI code
0002-9939(1994)122:3<741:HOTSFO>2.0.ZU;2-5
Abstract
In this paper we study the local Holder-regularity of weak solutions t o Lu + Vu = 0 where L is a Hormander hypoelliptic operator and the pot ential V belongs to a new class of functions which is the natural exte nsion of Morrey spaces to this situation. We improve a recent result o f Citti, Garofalo, and Lanconelli.