arXiv:math/0602426 Abstract

arXiv:math/0602426 [math.FA]Abstract References Reviews Resources

Optimal domain for the Hardy operator

Published 2006-02-20Version 1

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 $\delta$-ring. A precise description is given for the case of the minimal Lorentz spaces.

Comments: 15 pages

Categories: math.FA, math.CA

Subjects: 46E30, 46B25

Keywords: hardy operator, optimal domain, minimal lorentz spaces, rearrangement invariant space, precise description

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