Characterizations of a limiting class B of Békollé–Bonami weights

Research output: Contribution to journalArticle

Abstract

We explore properties of the class of Békollé–Bonami weights B∞ introduced by the authors in a previous work. Although Békollé–Bonami weights are known to be ill-behaved because they do not satisfy a reverse Hölder 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.

Details

Authors
Organisations
External organisations
  • University of Birmingham
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Bekollé weights, Integral operator, Reverse Hölder property
Original languageEnglish
Pages (from-to)1677-1692
Number of pages16
JournalRevista Matematica Iberoamericana
Volume35
Issue number6
Publication statusPublished - 2019
Publication categoryResearch
Peer-reviewedYes