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Potential Analysis

, Volume 43, Issue 3, pp 481–494 | Cite as

Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators

  • Lucas Chaffee
  • Rodolfo H. Torres
Article

Abstract

The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness of the commutators when acting on product of weighted Lebesgue spaces is also studied.

Keywords

Bilinear operators Compact operators Singular integrals Fractional integrals Calderón-Zygmund theory Commutators Muckenhoupt weights Vector valued weights Weighted Lebesgue spaces 

Mathematics Subject Classification (2010)

Primary: 42B20 47B07; Secondary: 42B25 47G99 

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

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