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Sharp L^p bounds on spectral clusters for Lipschitz metrics
- Author(s): Koch, Herbert
- Smith, Hart
- Tataru, Daniel
- et al.
Abstract
We establish L^p bounds on L^2 normalized spectral clusters for self-adjoint elliptic Dirichlet forms with Lipschitz coefficients. In two dimensions we obtain best possible bounds for all p between $2 and infinity, up to logarithmic losses for $6
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