most citedBoundedness of the fractional maximal operator on variable exponent Lebesgue spaces: a short proof

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math.AP2009★ 1 cited

Boundedness of the fractional maximal operator on variable exponent Lebesgue spaces: a short proof

Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas

We give a simple proof of the boundedness of the fractional maximal operator providing in this way an alternative approach to the one given by C. Capone, D. Cruz Uribe and A. Fiore…

math.AP2009

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

Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas

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 maxi…