Petersburg Department of Steklov Institute of Mathematics

PREPRINT 5/1999

THE THEOREM ON THREE SPHERES FOR HARMONIC DIFFERENTIAL FORMS

This preprint was accepted March 4, 1999
Contact: E.Malinnikova

ABSTRACT:
We study a generalization of the Hadamard theorem on three
circles 
to harmonic differential forms. An inequality for the
$L^2$-norms of a harmonic 
form over
concentric spheres is proved. Also, we obtain an estimate
for the $L^\infty$-norms.