A convergence result for unconditional series in Lp(μ)

Juan M. Medina, Bruno Cernuschi-Frías

Resumen


We give sufficient conditions for the convergence almost everywhere of the expansion with respect to an unconditional basis for functions in Lp p > 2. This result extends the classical theorem of Menchoff and Rademacher for orthogonal series in L2.

Palabras clave


Unconditional basic sequence ; Almost sure convergence ; Random series.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172013000400001

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