Work

A logarithmic uncertainty principle for functions with radial symmetry

Year: 2025

Type: article

Abstract: In this paper, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein–Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that unlike the general case it is not known. We provide also an integral alternative formula for the logarithmic weight $(\log|\xi|)$ in Fourier domain.

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s001309152500015x

Authors: Jacopo Bellazzini, Matteo Nesi

Institutions: University of Pisa, University of Basel

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Università di Pisa, Ministerio de Universidades

OpenAlex ID: W4408998606

FWCI:

Cites: 16

Cited by:

Related to: 10