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Aleman, Alexandru; Pott, Sandra; Reguera, Maria Carmen
Revista matemática iberoamericana, 11/2019, Volume: 35, Issue: 6Journal Article
We explore properties of the class of Bekolle-Bonami weights B.sub.infinity introduced by the authors in a previous work. Although Bekolle-Bonami weights are known to be ill-behaved because they do not satisfy a reverse Holder property, we prove that 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.
