Ball Average Characterizations of Function Spaces

Duration: 34 mins 29 secs

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Description:	Yang, D Tuesday 19th February 2019 - 09:40 to 10:15


Created:	2019-02-20 12:53
Collection:	Approximation, sampling and compression in data science
Publisher:	Isaac Newton Institute
Copyright:	Yang, D
Language:	eng (English)


Abstract:	It is well known that function spaces play an important role in the study on various problems from analysis. In this talk, we present pointwise and ball average characterizations of function spaces including Sobolev spaces, Besov spaces and Triebel-Lizorkin spaces on the Euclidean spaces. These characterizations have the advantages so that they can be used as the definitions of these function spaces on metric measure spaces. Some open questions are also presented in this talk.

Abstract:

It is well known that function spaces play an important role in the study on various problems from analysis. In this talk, we present pointwise and ball average characterizations of function spaces including Sobolev spaces, Besov spaces and Triebel-Lizorkin spaces on the Euclidean spaces. These characterizations have the advantages so that they can be used as the definitions of these function spaces on metric measure spaces. Some open questions are also presented in this talk.

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