• Lp-continuity for Calderón-Zygmund operator

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/115/02/0191-0200

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.