Sharp Lp Bounds on Spectral Clusters for Lipschitz Metrics
نویسندگان
چکیده
منابع مشابه
Sharp Bounds on Spectral Clusters for Lipschitz Metrics
We establish Lp bounds on L2 normalized spectral clusters for selfadjoint elliptic Dirichlet forms with Lipschitz coefficients. In two dimensions we obtain best possible bounds for all 2 ≤ p ≤ ∞, up to logarithmic losses for 6 < p ≤ 8. In higher dimensions we obtain best possible bounds for a limited range of p.
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2014
ISSN: 1080-6377
DOI: 10.1353/ajm.2014.0039