Geodesic
Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1007-1023 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.
Classification : 42B25
Keywords: variable exponent; weighted spaces; non doubling measures 
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     author = {Gorosito, Osvaldo and Pradolini, Gladis and Salinas, Oscar},
     title = {Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1007--1023},
     year = {2010},
     volume = {60},
     number = {4},
     mrnumber = {2738962},
     zbl = {1224.42060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a8/}
}
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Gorosito, Osvaldo; Pradolini, Gladis; Salinas, Oscar. Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1007-1023. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a8/