In this paper we prove the continuity of fractional integrals acting on nonhomogeneous function spaces defined on spaces of homogeneous type with finite measure. A definition of the molecules which are used in the theory is given. Results are proved for , , BMO, and Lipschitz spaces.
@article{bwmeta1.element.bwnjournal-article-smv103i1p25bwm,
author = {A. Gatto and Stephen V\'agi},
title = {On molecules and fractional integrals on spaces of homogeneous type with finite measure},
journal = {Studia Mathematica},
volume = {103},
year = {1992},
pages = {25-39},
zbl = {0809.42004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv103i1p25bwm}
}
Gatto, A.; Vági, Stephen. On molecules and fractional integrals on spaces of homogeneous type with finite measure. Studia Mathematica, Tome 103 (1992) pp. 25-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv103i1p25bwm/
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