Abstract
We prove that if a function $f \in L^p(\mathbb{R}^d)$ has vanishing periodizations then $\|f\|_{p'} \lesssim \|f\|_{p}$, provided $1 \le p < {2d}/{(d + 2)}$ and $d \ge 3$.
Citation
Oleg Kovrijkine. "Estimates of functions with vanishing periodizations." Illinois J. Math. 46 (1) 93 - 109, Spring 2002. https://doi.org/10.1215/ijm/1258136142
Information
Published: Spring 2002
First available in Project Euclid: 13 November 2009
zbMATH: 1047.42018
MathSciNet: MR1936077
Digital Object Identifier: 10.1215/ijm/1258136142
Subjects:
Primary:
42B35
Rights: Copyright © 2002 University of Illinois at Urbana-Champaign
