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A+ CATEGORY SCIENTIFIC UNIT

Littlewood–Paley -functions with rough kernels on homogeneous groups

Volume 195 / 2009

Yong Ding, Xinfeng Wu Studia Mathematica 195 (2009), 51-86 MSC: Primary 42B25; Secondary 43A80, 43A99. DOI: 10.4064/sm195-1-4

Abstract

Let \mathbb G be a homogeneousgroup on {\mathbb R}^n whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with L\log^+\!\!L function kernel on \gg is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood–Paley g-functions on \mathbb G

Authors

  • Yong DingSchool of Mathematical Sciences
    Beijing Normal University
    Laboratory of Mathematics
    and Complex Systems (BNU)
    Beijing, 100875, China
    e-mail
  • Xinfeng WuDepartment of Mathematics
    China University of Mining
    and Technology (Beijing)
    Beijing, 100083, China
    e-mail

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