We establish Hölder-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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-2-3, author = {Daniel Carando and Ver\'onica Dimant and Pablo Sevilla-Peris}, title = {Multilinear H\"older-type inequalities on Lorentz sequence spaces}, journal = {Studia Mathematica}, volume = {192}, year = {2009}, pages = {127-146}, zbl = {1182.46037}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-2-3} }
Daniel Carando; Verónica Dimant; Pablo Sevilla-Peris. Multilinear Hölder-type inequalities on Lorentz sequence spaces. Studia Mathematica, Tome 192 (2009) pp. 127-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-2-3/