Lp improving properties and maximal estimates for certain multilinear averaging operators

Chu-hee Cho ^[1] ; Jin Bong Lee ^[1] ; Kalachand Shuin ^[1]
1. [1] Seoul National University
  
  Seoul National University
  
  Corea del Sur
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 5, 2024, págs. 1799-1832
Idioma: inglés
DOI: 10.4171/RMI/1479
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Resumen
- In this article we focus on Lp estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different proof for the bilinear lacunary spherical maximal functions. To obtain our results, we make use of the L1 -improving estimates of multilinear averaging operators. We also obtain Lp -improving estimates for certain multilinear averages by means of the nonlinear Brascamp–Lieb inequality.