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 - <p style="text-align: justify;">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.</p>