New Lorentz spaces for the restricted weak-type Hardy's inequalities

Details New Lorentz spaces for the restricted weak-type Hardy's inequalities New Lorentz spaces for the restricted weak-type Hardy's inequalities

2000-09-07

arxiv.org/abs/math/0009072v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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 analogous to the characterization given by Sawyer for the classical Lorentz spaces. We also show that these new spaces are very natural to study the existence of equivalent norms described in terms of the maximal function

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