Title: Some geometric properties of function spaces and their applications

Date: Wednesday 22 September, 2004
Time: 12:00 noon
Venue: Room 3085, Level 3, Red Centre

Some local and non-local geometric properties of anisotropic Besov and Lizorkin-Triebel type spaces with either Lorentz or mixed Lebesgue basic (quasi) norm of differentiable functions defined on an open set are considered. They include superreflexivity, complementability,
and the description of the type, cotype and asymptotic behavior of the moduli of uniform convexity and smoothness for some equivalent norms.

The range of the applications is represented by some properties of unconditionally convergent series, a variant of a "Hahn-Banach theorem"
for bilinear forms, and sharpness of some boundedness results for singular and supersingular operators between function spaces.