- May 2, 2003 , Friday - 14h00 (Room P 3.10):
Algebras of Functions with Fourier Coefficients
in Weighted Orlicz Sequence Spaces
Alexei Karlovich
(Instituto Superior Técnico, U.T. Lisboa)
Abstract.
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.
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