Certain X-bases and analogs of Jackson theorem

Speaker: 

Dr. Sergey Ajiev

Affiliation: 

UNSW

Date: 

Wed, 13/02/2008 - 12:00pm

Venue: 

RC-4082

Abstract: 

For a Banach space X, the properties of several types of X-bases for Bochner-Lebesgue spaces are considered. Special attention is paid to the expansions of functions from vector-valued Besov and Lizorkin-Triebel spaces.

We compare the qualitative approach involving Franklin system with the quantitative one relying on certain direct approximation theorems and discuss some classical methods. Banach space X is not necessarily a UMD space.

School Seminar Series: