Cuadernos de Matemática y Mecánica, 2009

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas

Abstract


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.

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