Functional Analysis and Applications Seminar 

25/10/2013, 14:30 — 15:30 — Room P3.10, Mathematics Building
Stefan Samko, Universidade do Algarve and CEAF

A BMO-result for potential operators in the variable exponent

We show that the Riesz fractional integration operator of variable order $a(x)$ on a bounded open set in the $n$-dimensional Euclidean space in the limiting Sobolev case $a(x)p(x)=n$ is bounded from the variable exponent Lebesgue space to BMO, if $p(x)$ satisfies the standard \(\log\)-condition and $a(x)$ is Holder continuous of an arbitrarily small order.