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 ∞-norms.
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Malinnikova, E. (2000). The Theorem on Three Spheres for Harmonic Differential Forms. In: Havin, V.P., Nikolski, N.K. (eds) Complex Analysis, Operators, and Related Topics. Operator Theory: Advances and Applications, vol 113. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8378-8_18
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DOI: https://doi.org/10.1007/978-3-0348-8378-8_18
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