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

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 Added by Alberto Torchinsky
 Publication date 2019
  fields
and research's language is English




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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 Steins 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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