Multilinear Hölder-type inequalities on Lorentz sequence spaces

Details Multilinear Hölder-type inequalities on Lorentz sequence spaces Multilinear Hölder-type inequalities on Lorentz sequence spaces

2008-07-28

arxiv.org/abs/0807.4392v1

Studia Math. 195 (2009), no. 2, 127--146

Mathematics

Functional Analysis

Scientific paper

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.

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