A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions

We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we...

Full description

Saved in:
Bibliographic Details
Published inJournal of function spaces Vol. 2015; no. 2015; pp. 1 - 11
Main Authors Gong, Shuli, Fu, Zun Wei, Ma, Bolin
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
John Wiley & Sons, Inc
Wiley
Subjects
Estimates
Function space
Harmonics
Transforms
Online AccessGet full text

Cover

More Information
Summary:We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we obtain the boundedness of Riesz transform associated with the Hermite expansions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:2314-8896
2314-8888
DOI:10.1155/2015/104897