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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 5/1999

EUGENIA MALINNIKOVA
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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.

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