Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-27T14:34:23.229Z Has data issue: false hasContentIssue false
  • English
  • Français

Weights for commutators of the one-sided discrete square function, the Weyl fractional integral and other one-sided operators

Published online by Cambridge University Press:  12 July 2007

M. Lorente  and
M. S. Riveros
M. Lorente
Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Campus Teatinos 29071 Málaga, Spain([email protected])
M. S. Riveros
Affiliation:
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM–Conicet, 5000 Córdoba, Argentina([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The purpose of this paper is to prove strong-type inequalities with one-sided weights for commutators (with symbol b ∈ BMO) of several one-sided operators, such as the one-sided discrete square function, the one-sided fractional operators, or one-sided maximal operators given by the convolution with a smooth function. We also prove that b ∈ BMO is a necessary condition for the boundedness of commutators of these one-sided operators.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 845 - 862
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)