Year: 2021
Type: preprint
Abstract: We establish a good lambda inequality relating to the distribution function of Riesz potential and fractional maximal function on $\left(\mathbb{R}^n, dμ\right)$ where $μ$ is a positive Radon measure which doesn't necessarily satisfy a doubling condition. This is extended to weights $w$ in $A_{\infty}(μ)$ associated to the measure $μ$. We also derive potential inequalities as an application.
Source: arXiv (Cornell University)
Author: Bhandari, Dr Mukta
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4226100304