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arXiv · 1312.6394

Completely bounded Paley projections on anisotropic Sobolev spaces on tori

Yanqi Qiu
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Abstract

We study the existence of certain completely bounded Paley projection on the anisotropic Sobolev spaces on tori. Our result should be viewed as a generalization of a similar result obtained by Pe{\l}czy{\'n}ski and Wojciechowski. By a transference method, we obtain similar results on the Sobolev spaces on quantum tori.

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Yanqi Qiu. 2013-12-22. Completely bounded Paley projections on anisotropic Sobolev spaces on tori. https://arxiv.org/abs/1312.6394

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