full
search.png

Search

close.png

Cancel

arrow
Volume 37, Issue 3
Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

Dashan Fan & Fayou Zhao

DOI: 10.4208/ata.2021.lu80.01

Anal. Theory Appl., 37 (2021), pp. 267-288.

Published online: 2021-09

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 2987 38432

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers.

  • Keywords

Littlewood-Paley square functions, Triebel-Lizorkin spaces, Besov spaces, spherical average, ball average, Bochner-Riesz means.

  • AMS Subject Headings

46E35, 42B25, 42B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{ATA-37-267, author = {Fan , Dashan and Zhao , Fayou}, title = {Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {267--288}, abstract = {

We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.01}, url = {http://global-sci.org/intro/article_detail/ata/19875.html} }
TY - JOUR T1 - Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces AU - Fan , Dashan AU - Zhao , Fayou JO - Analysis in Theory and Applications VL - 3 SP - 267 EP - 288 PY - 2021 DA - 2021/09 SN - 37 DO - http://doi.org/10.4208/ata.2021.lu80.01 UR - https://global-sci.org/intro/article_detail/ata/19875.html KW - Littlewood-Paley square functions, Triebel-Lizorkin spaces, Besov spaces, spherical average, ball average, Bochner-Riesz means. AB -

We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers.

Fan , Dashan and Zhao , Fayou. (2021). Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces. Analysis in Theory and Applications. 37 (3). 267-288. doi:10.4208/ata.2021.lu80.01
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard