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20 April 2024

» arxiv » 1912.8300

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A Characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes
Calixto P. Calderon ; Alberto Torchinsky ;
Date:	17 Dec 2019
Abstract:	We describe the Lorentz space $L(p, r), 0 < r < p, p > 1$, in terms of Orlicz type classes of functions L . As a consequence of this result it follows that Stein’s characterization of the real functions on $R^n$ that are differentiable at almost all the points in $R^n$, is equivalent to the earlier characterization of those functions given by A. P. Calderon.
Source:	arXiv, 1912.8300
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