L p gradient estimates and Calderón–Zygmund inequalities under Ricci lower bounds

• Ludovico Marini ^[1] ; Stefano Meda ^[1] ; Stefano Pigola ^[1] ; Giona Veronelli ^[1]
  1. [1] University of Milano-Bicocca

     University of Milano-Bicocca

     Milán, Italia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 3, 2024, págs. 803-826
• Idioma: inglés
• DOI: 10.4171/RMI/1476
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• Resumen

  • In this paper, we investigate the validity of first and second order Lp estimates for the solutions of the Poisson equation depending on the geometry of the underlying manifold.