TY - JOUR
T1 - Some Remarks on the Restriction Theorems for the Maximal Operators on $\mathbb{R}^d$
AU - Enji Sato
JO - Analysis in Theory and Applications
VL - 2
SP - 123
EP - 137
PY - 2017
DA - 2017/04
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n2.3
UR - https://global-sci.org/intro/article_detail/ata/4628.html
KW - Weighted $L^p$ spaces, Fourier multipliers, multilinear operators.
AB - <p style="text-align: justify;">The aim of this paper is to give a simple proof of the restriction theorem for the maximal operators on the $d$-dimensional Euclidean space $\mathbb{R}^d$, whose theorem was proved by Carro-Rodriguez in 2012. Moreover, we shall give some remarks of the restriction theorem for the linear and the multilinear operators by Carro-Rodriguez and Rodriguez, too.</p>