Optimal domain for the Hardy operator

By Olvido Delgado, Javier Soria. 2006

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Abstract We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a δ -ring. A precise description is given for the case of the minimal Lorentz spaces.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2c6c6cd894221886c9bac1b757f1034013175e2b