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Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

Abstract We give weighted norm inequalities for the maximal fractional operator ℳ q,β of Hardy– Littlewood and the fractional integral I γ . These inequalities are established between ( L q , L p ) α ( X , d , μ) spaces (which are superspaces of Lebesgue spaces L …