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arXiv · 1912.08300

A Characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes

Calixto P. Calderon·Alberto Torchinsky
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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.

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Calixto P. Calderon, Alberto Torchinsky. 2019-12-17. A Characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes. https://arxiv.org/abs/1912.08300

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