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arXiv · 1802.00244

A few notes on Lorentz spaces

Claire David
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Abstract

In the sequel, we recall and comment some classical results on the non-increasing rearrangement and Lorentz spaces. There are papers in the existing literature that seemed to have been bypassed as regards its contractive property in~$L^p$ spaces. Also, we provide detailed proofs and some properties that does not seem to arise in the existing literature.

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Claire David. 2018-02-01. A few notes on Lorentz spaces. https://arxiv.org/abs/1802.00244

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