This is an announcement for the paper "Optimal domain for the Hardy operator" by Olvido Delgado and Javier Soria.
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 $\delta$-ring. A precise description is given for the case of the minimal Lorentz spaces.
Archive classification: Functional Analysis; Classical Analysis and ODEs
Mathematics Subject Classification: 46E30, 46B25
Remarks: 15 pages
The source file(s), DeSo.tex: 40756 bytes, is(are) stored in gzipped form as 0602426.gz with size 13kb. The corresponding postcript file has gzipped size 66kb.
Submitted from: soria@ub.edu
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