30/11/2016, 14:00 — 15:00 — Room P3.10, Mathematics Building
António Caetano, Universidade de Aveiro
Atomic and molecular decompositions in variable exponent function spaces
In this talk we report on recent results concerning atomic and molecular decompositions in 2-microlocal Besov and Triebel -Lizorkin spaces with variable integrability. We show that, in most cases, the convergence implied in such decompositions holds not only in the distributions sense, but also in the function spaces themselves. As an application, we give a simple proof for the denseness of the Schwartz class in such spaces. Some other properties, like Sobolev embeddings, will also be dealt with via atomic representations.
The reported research is joint work with Alexandre Almeida.
