@Article{ATA-37-3, 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 = {https://global-sci.com/article/73782/littlewood-paley-functions-and-triebel-lizorkin-spaces-besov-spaces} }