26/09/2008, 15:00 — 16:00 — Room P3.10, Mathematics Building
Alexei Karlovich, Universidade Nova de Lisboa
Maximal operators on variable Lebesgue spaces with weights related
to oscillations of Carleson curves
We prove sufficient conditions for the boundedness of the
maximal operator on variable Lebesgue spaces with weights
, where is a complex number, over
arbitrary Carleson curves. If the curve has different spirality
indices at the point and is not real, then the weight
is an oscillating weight lying beyond the class of radial
oscillating weights considered recently by V. Kokilashvili, N.
Samko, and S. Samko.