Sharp L^p bounds on spectral clusters for Lipschitz metrics
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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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