IST IST

Seminar on
Functional Analysis and Applications

Supported by The Centre for Mathematics and its Applications - CEMAT and PRAXIS XXI.




  • 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.




Seminars take place in Lisbon, I.S.T. - Post Graduation Building

Webpage: http://www.math.ist.utl.pt/funcional