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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Covering lemmas and an application to nodal geometry on Riemannian manifolds


Author: Guozhen Lu
Journal: Proc. Amer. Math. Soc. 117 (1993), 971-978
MSC: Primary 58G25
MathSciNet review: 1160304
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Abstract: The main part of this note is to show a general covering lemma in $ {R^n},\;n \geqslant 2$, with the aim to obtain the estimate for BMO norm and the volume of a nodal set of eigenfunctions on Riemannian manifolds.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1160304-0
PII: S 0002-9939(1993)1160304-0
Article copyright: © Copyright 1993 American Mathematical Society