The class $B_\infty$
Classical Analysis and ODEs
2017-06-01 v1 Complex Variables
Abstract
We explore properties of the class of B\'ekoll\'e-Bonami weights introduced by the authors in a previous work. Although B\'ekoll\'e-Bonami weights are known to be ill-behaved because they do not satisfy a reverse H\"older property, we prove than when restricting to a class of weights that are "nearly constant on top halves", one recovers some of the classical properties of Muckenhoupt weights. We also provide an application of this result to the study of the spectra of certain integral operators.
Cite
@article{arxiv.1705.10825,
title = {The class $B_\infty$},
author = {A. Aleman and S. Pott and M. C. Reguera},
journal= {arXiv preprint arXiv:1705.10825},
year = {2017}
}
Comments
15 pages