02/05/2003, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Alexei Karlovich, Instituto Superior Técnico, U.T. Lisboa
Algebras of Functions with Fourier Coefficientsin Weighted Orlicz
Sequence Spaces
We prove that the set of all integrable functions whose sequences
of negative (resp. nonnegative) Fourier coefficients belong to a
two-weighted Orlicz sequence space forms an algebra under pointwise
multiplication. We show that this is a Banach algebra with the
factorization property.
