Chinese Annals of Mathematics, Series B

, Volume 32, Issue 1, pp 59–68

Transference on some non-convolution operators from euclidean spaces to torus


DOI: 10.1007/s11401-010-0624-1

Cite this article as:
Zhang, Y., Fan, D. & Chen, J. Chin. Ann. Math. Ser. B (2011) 32: 59. doi:10.1007/s11401-010-0624-1


The authors prove the certain de Leeuw type theorems on some non-convolution operators, and give some applications on certain known results.


n-Torus de Leeuw’s theorem Commutator 

k]2000 MR Subject Classification

42B05 42B15 

Copyright information

© Editorial Office of CAM (Fudan University) and Springer Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang University of Science and TechnologyHangzhouChina
  2. 2.Department of MathematicsUniversity of Wisconsin-MilwaukeeMilwaukeeUSA
  3. 3.Department of MathematicsZhejiang UniversityHangzhouChina

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