Functional Analysis and Applications Seminar 

01/04/2005, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexandre Almeida, Universidade de Aveiro

Characterization of function spaces of Riesz and Bessel potentials in case of variable exponent

We consider Riesz and Bessel potential spaces within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, under natural regularity conditions on the exponent. We also describe a relation between these spaces and the variable Sobolev spaces.