Multilinear Hölder-type inequalities on Lorentz sequence spaces

Daniel Carando; Verónica Dimant; Pablo Sevilla-Peris

Studia Mathematica (2009)

  • Volume: 195, Issue: 2, page 127-146
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Daniel Carando, Verónica Dimant, and Pablo Sevilla-Peris. "Multilinear Hölder-type inequalities on Lorentz sequence spaces." Studia Mathematica 195.2 (2009): 127-146. <http://eudml.org/doc/285229>.

@article{DanielCarando2009,
abstract = {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.},
author = {Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris},
journal = {Studia Mathematica},
keywords = {Hölder-type inequality; Lorentz sequence space; multilinear mapping},
language = {eng},
number = {2},
pages = {127-146},
title = {Multilinear Hölder-type inequalities on Lorentz sequence spaces},
url = {http://eudml.org/doc/285229},
volume = {195},
year = {2009},
}

TY - JOUR
AU - Daniel Carando
AU - Verónica Dimant
AU - Pablo Sevilla-Peris
TI - Multilinear Hölder-type inequalities on Lorentz sequence spaces
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 2
SP - 127
EP - 146
AB - 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.
LA - eng
KW - Hölder-type inequality; Lorentz sequence space; multilinear mapping
UR - http://eudml.org/doc/285229
ER -

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