In this paper we show that the fractional integral of order α on spaces of homogeneous type embeds into a certain Orlicz space. This extends results of Trudinger [T], Hedberg [H], and Adams-Bagby [AB].
@article{bwmeta1.element.bwnjournal-article-cmv64i1p121bwm,
author = {A. Gatto and Stephen V\'agi},
title = {On the exponential integrability of fractional integrals on spaces of homogeneous type},
journal = {Colloquium Mathematicae},
volume = {66},
year = {1993},
pages = {121-127},
zbl = {1002.42501},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i1p121bwm}
}
Gatto, A.; Vági, Stephen. On the exponential integrability of fractional integrals on spaces of homogeneous type. Colloquium Mathematicae, Tome 66 (1993) pp. 121-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i1p121bwm/
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