• Lp-continuity for Calderón-Zygmund operator

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    • Keywords


      C-Z operator; characteristic atoms; WL 1 ; Hardy-Littlewood maximal operator; *-maximal operator

    • Abstract


      Given a Calderón-Zygmund (C-Z for short) operatorT, which satisfies Hörmander condition, we prove that: ifT maps all the characteristic atoms toWL1, thenT is continuous fromLp toLp(1 <p < ∞). So the study of strong continuity on arbitrary function inLp has been changed into the study of weak continuity on characteristic functions.

    • Author Affiliations


      Q X Yang1

      1. Department of Mathematics, Wuhan University, Hubei - 430072, China
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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