On pointwise convergence of multilinear Bochner-Riesz means
Classical Analysis and ODEs
2024-12-03 v1
Abstract
We improve the range of indices when the multilinear Bochner-Riesz means converges pointwisely. We obtain this result by establishing the estimates and weighted estimates of -linear maximal Bochner-Riesz operators inductively, which is new when in higher dimensions. To prove these estimates, we make use of a variant of Stein's square function and its multilinear generalization.
Keywords
Cite
@article{arxiv.2412.00296,
title = {On pointwise convergence of multilinear Bochner-Riesz means},
author = {Danqing He and Kangwei Li and Jiqiang Zheng},
journal= {arXiv preprint arXiv:2412.00296},
year = {2024}
}