English

Multilinear H\"older-type inequalities on Lorentz sequence spaces

Functional Analysis 2012-01-18 v1

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.

Keywords

Cite

@article{arxiv.0807.4392,
  title  = {Multilinear H\"older-type inequalities on Lorentz sequence spaces},
  author = {Daniel Carando and Verónica Dimant and Pablo Sevilla-Peris},
  journal= {arXiv preprint arXiv:0807.4392},
  year   = {2012}
}
R2 v1 2026-06-21T11:04:55.434Z