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Blei’s inequality and coordinatewise multiple summing operators
Popa, Dumitru
Sinnamon, Gord

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 ; publishedVersion
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 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_57213_09
DOI: 10.5565/287160

21 p, 353.7 KB

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