On the exponential integrability of fractional integrals on spaces of homogeneous type
Colloquium Mathematicum, Tome 64 (1993) no. 1, pp. 121-127.

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In this paper we show that the fractional integral of order α on spaces of homogeneous type embeds $L^{1/α}$ into a certain Orlicz space. This extends results of Trudinger [T], Hedberg [H], and Adams-Bagby [AB].
DOI : 10.4064/cm-64-1-121-127

A. Gatto 1 ; Stephen Vági 1

1
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A. Gatto; Stephen Vági. On the exponential integrability of fractional integrals on spaces of homogeneous type. Colloquium Mathematicum, Tome 64 (1993) no. 1, pp. 121-127. doi : 10.4064/cm-64-1-121-127. http://geodesic.mathdoc.fr/articles/10.4064/cm-64-1-121-127/

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