Multilinear holder-type inequalities on lorentz sequence spaces

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 B...

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Autores principales: Carando, D., Dimant, V., Sevilla-Peris, P.
Formato: Artículo publishedVersion
Publicado: 2009
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00393223_v195_n2_p127_Carando
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00393223_v195_n2_p127_Carando_oai
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Sumario: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. © Instytut Matematyczny PAN, 2009.