Some Remarks on the Restriction Theorems for the Maximal Operators on $\mathbb{R}^d$

Some Remarks on the Restriction Theorems for the Maximal Operators on $\mathbb{R}^d$

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 123–137

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n2.3

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 123–137

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Weighted $L^p$ spaces Fourier multipliers multilinear operators.