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

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Abstract

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

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Correspondence to Jiecheng Chen.

Additional information

Project supported 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).

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Zhang, Y., Fan, D. & Chen, J. Transference on some non-convolution operators from euclidean spaces to torus. Chin. Ann. Math. Ser. B 32, 59–68 (2011). https://doi.org/10.1007/s11401-010-0624-1

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  • DOI: https://doi.org/10.1007/s11401-010-0624-1

Keywords

k]2000 MR Subject Classification

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