Open AccessOn Some Weighted Inequalities for Fractional Integrals on Nonhomogeneous Spaces
Author(s) -
Vakhtang Kokilashvili,
Alexander Meskhi
Publication year - 2005
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1272
Subject(s) - mathematics , inequality , fractional calculus , pure mathematics , calculus (dental) , mathematical analysis , medicine , dentistry
Necessary and sufficient conditions on a measure governing two-weight inequality with the weights of power type for fractional integrals on nonhomogeneous spaces are established. Various applications are given, in particular to potentials with Radon and Hausdorff measures.
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