| Data: |
2013 |
| Resum: |
Two inequalities resembling the multilinear Hölder inequality for mixednorm Lebesgue spaces are proved. When specialized to single-function inequalities they include a pair of inequalities due to Blei and a recent extension of Blei's inequality. The first of these inequalities is applied to give explicit indices in a known result for coordinatewise multiple summing operators. The second is used to prove a complementary result to the known one, again with explicit indices. As an application of the complementary result, a sufficient condition is given for a composition of operators to be multiple summing. |
| Drets: |
Tots els drets reservats.  |
| Llengua: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Matèria: |
Blei's inequality ;
Mixed-norm space ;
Multiple summing operator ;
Bohnenblust-Hille inequality |
| Publicat a: |
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 455-475, ISSN 2014-4350 |
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