Contents/conteúdo

Functional Analysis, Linear Structures and Applications Seminar   RSS

03/05/2019, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexei Karlovich, Universidade Nova de Lisboa

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 https://arxiv.org/abs/1903.09696.

Current organizers: Helena Mascarenhas, Ângela Mestre.

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