Discrete Fourier restriction associated with Schrödinger equations

• Autores: Yi Hu, Xiaochun Li
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 30, Nº 4, 2014, págs. 1281-1300
• Idioma: inglés
• DOI: 10.4171/RMI/815
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• Resumen

  • We present a novel proof on the discrete Fourier restriction. The proof recovers Bourgain's level set result for Strichartz estimates associated with Schrödinger equations on a torus. Some sharp estimates on L2(d+2)/d norms of certain exponential sums in higher dimensional cases are established. As an application, we show that some discrete multilinear maximal functions are bounded on L2(Z).