Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian

• Jeong, Eunhee ^[1] ; Lee, Sanghyuk ^[2] ; Ryu, Jaehyeon ^[3]
  1. [1] National University

     National University

     Estados Unidos

     
  2. [2] Seoul National University

     Seoul National University

     Corea del Sur

     
  3. [3] Korea Institute for Advanced Study

     Korea Institute for Advanced Study

     Corea del Sur

     

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• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 66, Nº 2, 2022, págs. 831-855
• Idioma: inglés
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• Resumen

  • In this note we are concerned with estimates for the spectral projection operator Pµ associated with the twisted Laplacian L. We completely characterize the optimal bounds on the operator norm of Pµ from Lp to Lq when 1 ≤ p ≤ 2 ≤ q ≤ ∞. As an application, we obtain a uniform resolvent estimate for L.

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