A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions-Reference-Cited by-同舟云学术

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

Published:2015 Issue: Volume:2015 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Gong Shuli¹^ORCID,Ma Bolin²,Fu Zunwei¹^ORCID

Affiliation:

1. Department of Mathematics, Linyi University, Linyi, Shandong 276005, China

2. College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China

Abstract

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

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/104897.pdf

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