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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

Attachment | Size |
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Analysis Seminar-Matsuoka.pdf | 62.18 KB |