## Some new function spaces

01/30/2012 - 3:00pm
01/30/2012 - 4:00pm
Speaker:
Katsuo Matsuoka, Nihon University, Japan
Abstract:

Recently, we introduced some new function spaces, i.e. -function spaces denoted by and .

These function spaces are defined as follows. For , let
and be the sets of all functions on such that and , respectively, where   and

Here, for each or
, and is a function space on with semi norm .  For example, , , , etc.

If and , then which was introduced by Beurling (1964) together with its predual , the so-called the Beurling algebra.

Using the -function spaces, we can unify a series of results on the boundedness of operators on several classical function spaces.

The talk is based on a joint work with Y. Komori-Furuya (Tokai U), E. Nakai (Ibaraki U) and Y. Sawano (Kyoto U).

Where:
Davidson Lecture Hall, Claremont McKenna College
AttachmentSize
Analysis Seminar-Matsuoka.pdf62.18 KB