Year: 2021
Type: preprint
Abstract: We present a new characterization of Muckenhoupt $A_{\infty}$-weights whose logarithm is in $\operatorname{VMO}(\mathbb{R})$ in terms of vanishing Carleson measures on $\mathbb{R}_+^2$ and vanishing doubling weights on $\mathbb{R}$. This also gives a novel description of strongly symmetric homeomorphisms on the real line by using a geometric quantity.
Source: arXiv (Cornell University)
Authors: Liu, Jinsong, Tao, Fei, Wei, Huaying
Institution: Jiangsu Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1147893686, G1603846912, G2703891903
OpenAlex ID: W3201068140