Acta Mathematica Sinica

, Volume 22, Issue 1, pp 69–76

Continuity for Maximal Multilinear Bochner–Riesz Operators on Hardy and Herz–Hardy Spaces

ORIGINAL ARTICLES

DOI: 10.1007/s10114-004-0488-y

Cite this article as:
Liu, L.Z. & Lu, S.Z. Acta Math Sinica (2006) 22: 69. doi:10.1007/s10114-004-0488-y

Abstract

Let \( B^{A}_{{\delta , * }} \)be the maxiamal multilinear Bochner–Riesz operators generated by Bochner– Riesz operators and DαA ∈ Lipβ(|α| = m). The continuity of the operator on some Hardy and Herz type Hardy is obtained.

Keywords

Bochner–Riesz operatorMultilinear OperatorsHardy SpaceHerz SpaceLipschitz space

MR (2000) Subject Classification

42B2042B25

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of Mathematics, ChangshaUniversity of Science and TechnologyChangsha 410077P. R. China
  2. 2.Department of MathematicsBeijing Normal UniversityBeijing 100875P. R. China