Equivalent quasi-norms and atomic decomposition of weak Triebel-Lizorkin spaces

Title:

Equivalent quasi-norms and atomic decomposition of weak Triebel-Lizorkin spaces

Creator:

Li, Wenchang and Xu, Jingshi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:bed0d11f-df82-4ec5-9324-017b3e67d749
uuid:bed0d11f-df82-4ec5-9324-017b3e67d749
issn:0011-4642

Subject:

matematika, mathematics, atom, maximal function, weak Lebesgue space, Triebel-Lizorkin space, equivalent norm, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Recently, the weak Triebel-Lizorkin space was introduced by Grafakos and He, which includes the standard Triebel-Lizorkin space as a subset. The latter has a wide applications in aspects of analysis. In this paper, the authors firstly give equivalent quasi-norms of weak Triebel-Lizorkin spaces in terms of Peetre's maximal functions. As an application of those equivalent quasi-norms, an atomic decomposition of weak Triebel-Lizorkin spaces is given., Wenchang Li, Jingshi Xu., and Seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

497-513

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false