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ArticleOriginal scientific text

Title

Weighted estimates for commutators of linear operators

Authors 1, 1, 1, 1, 2

Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, U.S.A.
  2. Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Abstract

We study boundedness properties of commutators of general linear operators with real-valued BMO functions on weighted Lp spaces. We then derive applications to particular important operators, such as Calderón-Zygmund type operators, pseudo-differential operators, multipliers, rough singular integrals and maximal type operators.

Keywords

ENG
bounded mean oscillation, singular integrals, maximal functions, weighted inequalities

Bibliography

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Studia Mathematica
1993/104/2
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Pages:
195-209
Main language of publication
English
Received
1992-03-03
Accepted
1992-09-07
Published
1993
Exact and natural sciences