Remark on the formula for L^p norm characterized by weak L^p norm
Abstract
In \cite{s=0}, the new formula for $L^p(\mathbb{R}^N)$ norms was given by Gu and Yung which is characterized by the standard weak-$L^p(\mathbb{R}^{2N})$ norms. At first glance, it seems to be able to measure the degree of fractional smoothness of functions. In this paper, our proof goes in parallel as in \cite{s=0}, but gives another different representation which is obviously independent of the smoothness of function.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Approximation and Integration
Numerical methods in inverse problems
Publication details
- Journal / source
- Journal of Mathematical Inequalities
- Publisher
- Element d.o.o.
- Issue
- 2
- Pages
- 449–455
- Publication date
- 1 January 2026
- Language
- EN