This is an announcement for the paper "Multilinear Holder-type inequalities on Lorentz sequence spaces" by Daniel Carando, Veronica Dimant and Pablo Sevilla-Peris.

Abstract: We establish H"older type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.

Archive classification: math.FA

Mathematics Subject Classification: 46A46, 46B45

The source file(s), CarandoDimantSevilla.tex: 59626 bytes, is(are) stored in gzipped form as 0807.4392.gz with size 18kb. The corresponding postcript file has gzipped size 122kb.

Submitted from: dcarando@dm.uba.ar

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http://arXiv.org/abs/0807.4392

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