Pieroe D'Ancona (Rome)
Estimates with higher angular integrability and applications
I will talk about recent work with R.Luca' on estimates for fractional
integrals with different integrability properties in the radial and
angular directions. Using these fundamental block several classical
estimates can be improved: Sobolev embeddings, Caffarelli-Kohn-
Nirenberg estimates, Strichartz estimates for the wave equation.
As an example we apply the estimate to refine a regularity
result of Serrin type for the Navier-Stokes equation.