Transference on Some Non-convolution Operators from Euclidean Spaces to Torus

Citation:

Yandan ZHANG,Dashan FAN,Jiecheng CHEN.Transference on Some Non-convolution Operators from Euclidean Spaces to Torus[J].Chinese Annals of Mathematics B,2011,32(1):59~68
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Authors:

Yandan ZHANG; Dashan FAN; Jiecheng CHEN;

Foundation:

by the National Natural Science Foundation of China (Nos. 10931001 and 10871173), the Educational Science Foundation of Zhejiang (No. Z201017584) and the Science Foundation of Zhejiang University of Science and Technology (No. F501108A02) .
Abstract: The authors prove the certain de Leeuw type theorems on some non-convolution operators, and give some applications on certain known results.

Keywords:

n-Torus, de Leeuw’s theorem, Commutator

Classification:

42B05, 42B15
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