Geodesic
Multilinear Hölder-type inequalities on Lorentz sequence spaces
Daniel Carando 1   ; Verónica Dimant 2   ; Pablo Sevilla-Peris 3
1 Departamento de Matemática, Pab I Facultad de Cs. Exactas y Naturales Universidad de Buenos Aires 1428, Buenos Aires, Argentina and CONICET
2 Departamento de Matemática Universidad de San Andrés Vito Dumas 284 (B1644BID) Victoria, Buenos Aires, Argentina and CONICET
3 Instituto Universitario de Matemática Pura y Aplicada ETSMRE – Universidad Politécnica de Valencia Av. Blasco Ibáñez 21 46010 Valencia, Spain
Studia Mathematica, Tome 195 (2009) no. 2, pp. 127-146 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm195-2-3
Keywords: establish lder type inequalities lorentz sequence spaces their duals order achieve these related inequalities study diagonal multilinear forms general sequence spaces obtain estimates their norms consider norms multilinear forms different banach multilinear ideals

Daniel Carando  1   ; Verónica Dimant  2   ; Pablo Sevilla-Peris  3

1 Departamento de Matemática, Pab I Facultad de Cs. Exactas y Naturales Universidad de Buenos Aires 1428, Buenos Aires, Argentina and CONICET
2 Departamento de Matemática Universidad de San Andrés Vito Dumas 284 (B1644BID) Victoria, Buenos Aires, Argentina and CONICET
3 Instituto Universitario de Matemática Pura y Aplicada ETSMRE – Universidad Politécnica de Valencia Av. Blasco Ibáñez 21 46010 Valencia, Spain 
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     title = {Multilinear {H\"older-type} inequalities on
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Daniel Carando; Verónica Dimant; Pablo Sevilla-Peris. Multilinear Hölder-type inequalities on
 Lorentz sequence spaces. Studia Mathematica, Tome 195 (2009) no. 2, pp. 127-146. doi: 10.4064/sm195-2-3

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