Spaces between 𝐻¹ and 𝐿¹

Abu-Shammala, Wael; Torchinsky, Alberto

doi:10.1090/S0002-9939-08-09223-X

Spaces between $H^{1}$ and $L^{1}$
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by Wael Abu-Shammala and Alberto Torchinsky PDF

Proc. Amer. Math. Soc. 136 (2008), 1743-1748 Request permission

Abstract:

In this paper we consider the spaces $X_s$ that lie between $H^1(R^n)$ and $L^1(R^n)$. We discuss their interpolation properties and the behavior of maximal functions and singular integrals acting on them.

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