A Convergence result for Unconditional Series in $L^p(\mu)$

JUAN MIGUEL MEDINA; BRUNO CERNUSCHI FRÍAS

Campos do Jordaõ, Brasil

Workshop; School and Workshop on Probability Theory and Applications ICTP/CNPq; 2007

ICTP-CNPq Conselho Nacional de Desenvolvimento Científico e Tecnológico

We give sufficient conditions for the convergence almost everywhere of the expansion in an unconditional basis for functions in $L^p$ $pgeq2$. This Result is a generalization of a theorem of Moricz and Tandori which extends the Classical theorem of Menchoff and rademacher for orthogonal series in $L^2$.