Subcritical Lp bounds on spectral clusters for Lipschitz metrics

• Autores: Herbert Koch , Hart F. Smith, Daniel Tataru
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 993-1002
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n5.a12
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• Resumen

  • We establish asymptotic bounds on the $L^p$ norms of spectrally localized functions in the case of two-dimensional Dirichlet forms with coefficients of Lipschitz regularity. These bounds are new for the range $6