On the exponential integrability of fractional integrals on spaces of homogeneous type
Volume 64 / 1993
Colloquium Mathematicum 64 (1993), 121-127
DOI: 10.4064/cm-64-1-121-127
Abstract
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].
