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Integral Equations and Operator Theory

, Volume 76, Issue 1, pp 55–79 | Cite as

Singular Integrals on Product Homogeneous Groups

  • Yong Ding
  • Shuichi SatoEmail author
Article
  • 252 Downloads

Abstract

We consider singular integral operators with rough kernels on the product space of homogeneous groups. We prove L p boundedness of them for \({p \in (1,\infty)}\) under a sharp integrability condition of the kernels.

Mathematics Subject Classification (2010)

Primary 42B20 

Keywords

multiple singular integrals homogeneous groups 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education, School of Mathematical SciencesBeijing Normal UniversityBeijingPeople’s Republic of China
  2. 2.Department of Mathematics, Faculty of EducationKanazawa UniversityKanazawaJapan

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