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Spaces between $ H^{1}$ and $ L^{1}$

Author(s): Wael Abu-Shammala; Alberto Torchinsky
Journal: Proc. Amer. Math. Soc. 136 (2008), 1743-1748.
MSC (2000): Primary 42B25
Posted: January 25, 2008
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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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Additional Information:

Wael Abu-Shammala
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: wabusham@indiana.edu

Alberto Torchinsky
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: torchins@indiana.edu

DOI: 10.1090/S0002-9939-08-09223-X
PII: S 0002-9939(08)09223-X
Keywords: $K$ functional
Received by editor(s): March 19, 2007
Posted: January 25, 2008
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2008, American Mathematical Society

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