On the exponential integrability of fractional integrals on spaces of homogeneous type
Colloquium Mathematicum, Tome 64 (1993) no. 1, pp. 121-127
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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].
@article{10_4064_cm_64_1_121_127,
author = {A. Gatto and Stephen V\'agi},
title = {On the exponential integrability of fractional integrals on spaces of homogeneous type},
journal = {Colloquium Mathematicum},
pages = {121--127},
publisher = {mathdoc},
volume = {64},
number = {1},
year = {1993},
doi = {10.4064/cm-64-1-121-127},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-64-1-121-127/}
}
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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
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