On molecules and fractional integrals on spaces of homogeneous type with finite measure
Studia Mathematica, Tome 103 (1992) no. 1, pp. 25-39
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $H^p$ theory is given. Results are proved for $L^p$, $H^p$, BMO, and Lipschitz spaces.
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author = {A. Eduardo Gatto},
title = {On molecules and fractional integrals on spaces of homogeneous type with finite measure},
journal = {Studia Mathematica},
pages = {25--39},
publisher = {mathdoc},
volume = {103},
number = {1},
year = {1992},
doi = {10.4064/sm-103-1-25-39},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-103-1-25-39/}
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A. Eduardo Gatto. On molecules and fractional integrals on spaces of homogeneous type with finite measure. Studia Mathematica, Tome 103 (1992) no. 1, pp. 25-39. doi: 10.4064/sm-103-1-25-39
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