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Weighted inequalities for the dyadic maximal operator involving an infinite product

Volume 145 / 2016

Wei Chen, Ruijuan Chen, Chao Zhang Colloquium Mathematicum 145 (2016), 231-244 MSC: Primary 42B25; Secondary 42B35. DOI: 10.4064/cm6701-1-2016 Published online: 4 July 2016

Abstract

We define a generalized dyadic maximal operator involving an infinite product. We get adapted $A_p$ and $S_p$ weighted inequalities for this operator. A version of the Carleson embedding theorem is also proved. Our results heavily depend on a generalized Hölder inequality.

Authors

  • Wei ChenSchool of Mathematical Sciences
    Yangzhou University
    225002 Yangzhou, China
    e-mail
  • Ruijuan ChenSchool of Mathematical Sciences
    Yangzhou University
    225002 Yangzhou, China
    e-mail
  • Chao ZhangDepartment of Mathematics
    Zhejiang Gongshang University
    310018 Hangzhou, China
    e-mail

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