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Two-Weight Inequalities for Commutators with Calderon-Zygmund Operators

Connections for Women: Harmonic Analysis January 19, 2017 - January 20, 2017

January 19, 2017 (04:00 PM PST - 04:30 PM PST)
Speaker(s): Irina Holmes (Washington University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • commutators

  • two-weight

  • calderon-zygmund

  • harmonic analysis

  • operator theory

  • singular integrals

  • weighted theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Two-Weight Inequalities For Commutators With Calderon-Zygmund Operators

Abstract

In a foundational paper, Coifman, Rochberg and Weiss characterize the norm of the commutator [b, T] - where T is a Calderon-Zygmund operator - in terms of the BMO norm of the symbol function b. In this talk, we discuss a two-weight version of this result. Such a result was first obtained by Bloom in 1985, in the one-dimensional case, for the Hilbert transform. More recently, this was extended to the n-dimensional case, for all CZOs, using the modern methods of dyadic harmonic analysis

Supplements
27799?type=thumb Holmes Notes 667 KB application/pdf Download
Video/Audio Files

Two-Weight Inequalities For Commutators With Calderon-Zygmund Operators

H.264 Video 05-Holmes.mp4 233 MB video/mp4 rtsp://videos.msri.org/data/000/027/645/original/05-Holmes.mp4 Download
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