info:eu-repo/semantics/article
Some polynomial versions of cotype and applications
Fecha
2016-01Registro en:
Carando, Daniel Germán; Defant, Andreas; Sevilla Peris, Pablo; Some polynomial versions of cotype and applications; Elsevier Inc; Journal Of Functional Analysis; 270; 1; 1-2016; 68-87
0022-1236
CONICET Digital
CONICET
Autor
Carando, Daniel Germán
Defant, Andreas
Sevilla Peris, Pablo
Resumen
We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st. and cotype, and spaces having Fourier cotype enjoy our non-linear cotype. We apply these concepts to get results on convergence of vector-valued power series in infinite many variables and on L1-multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.