A1 bounds for calderón-zygmund operators related to a problem of muckenhoupt and wheeden

Andrei K. Lerner, Sheldy Ombrosi, Carlos Pérez

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

We obtain an Lp(ω) bound for Calderón-Zygmund operators T when w∈ A1. This bound is sharp both with respect to ||ω||A1 and with respect to p. As a result, we get a new L1,∞°(ω) estimate for T related to a problem of Muckenhoupt and Wheeden.

Original languageEnglish
Pages (from-to)149-156
Number of pages8
JournalMathematical Research Letters
Volume16
Issue number1
DOIs
StatePublished - Jan 2009
Externally publishedYes

Keywords

  • Calderón-zygmund operators
  • Weights

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