On Friday, 03/05/2019, 15:00 — 16:00, in Room P3.10 of Mathematics Building of the IST will take place a seminar by Alexei karlovich (Universidade Nova de Lisboa) with title
“Algebras of Continuous Fourier Multipliers on Variable Lebesgue Spaces”.
We show that several definitions of algebras of continuous Fourier multipliers on variable Lebesgue spaces over the real line are equivalent under some natural assumptions on variable exponents. Some of our results are new even in the case of standard Lebesgue spaces and give answers on two questions about algebras of continuous Fourier multipliers on Lebesgue spaces over the real line posed by H. Mascarenhas, P. Santos and M. Seidel. The preprint is available at arXiv.