Title of article
On the Strong Lp-Hodge decomposition over complete Riemannian manifolds
Author/Authors
Xiangdong Li، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
30
From page
3617
To page
3646
Abstract
We establish the Strong Lp-Hodge decomposition theorem and the Lp-Poincaré inequalities on differential
forms over complete non-compact Riemannian manifolds. As applications, we prove some Lpestimates
and existence theorems for the de Rham operator as well as some vanishing theorems for the
Lp-cohomology and the Lp-torsion over complete non-compact Riemannian manifolds with suitable geometric
conditions.
© 2009 Elsevier Inc. All rights reserved
Keywords
de Rham operator , Lp-Cohomology , Poincaré inequalities , Riesz potentials , Riesz transforms , StrongLp-Hodge decomposition
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
840037
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