improving properties and maximal estimates for certain multilinear averaging operators
Chu-hee Cho
Seoul National University, Seoul, Republic of KoreaJin Bong Lee
Seoul National University, Seoul, Republic of KoreaKalachand Shuin
Seoul National University, Seoul, Republic of Korea
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Abstract
In this article we focus on 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 -improving estimates of multilinear averaging operators. We also obtain -improving estimates for certain multilinear averages by means of the nonlinear Brascamp–Lieb inequality.
Cite this article
Chu-hee Cho, Jin Bong Lee, Kalachand Shuin, improving properties and maximal estimates for certain multilinear averaging operators. Rev. Mat. Iberoam. (2024), published online first
DOI 10.4171/RMI/1479