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math.CA2004★ 2 cited
Characterization of rearrangement invariant spaces with fixed points for the Hardy-Littlewood maximal operator
Joaquim Martin, Javier Soria
We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces $L^p(\mathb…
math.CA2000
New Lorentz spaces for the restricted weak-type Hardy's inequalities
Joaquim Martin, Javier Soria
Associated to the class of restricted-weak type weights for the Hardy operator, we find a new class of Lorentz spaces for which the normability property holds. This result is analo…