Functional Analysis and Applications Seminar 

02/05/2003, 14:00 — 15:00 — Room P3.10, Mathematics Building
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.