TY - JOUR
T1 - A Study of One-Sided Singular Integral and Function Space via Reproducing Formula
AU - Fu, Zunwei
AU - Hou, Xianming
AU - Lee, Ming Yi
AU - Li, Ji
N1 - Publisher Copyright:
© 2023, Mathematica Josephina, Inc.
PY - 2023/9
Y1 - 2023/9
N2 - In this paper, we systematically establish the theory of one-sided Hardy spaces, including Littlewood–Paley g functions, S-square functions and atomic decomposition. Moreover, we further give the characterizations of one-sided Triebel–Lizorkin spaces and the boundedness for commutators. These results complement the missing components in the one-sided singular integral operator and function space theory studied before.
AB - In this paper, we systematically establish the theory of one-sided Hardy spaces, including Littlewood–Paley g functions, S-square functions and atomic decomposition. Moreover, we further give the characterizations of one-sided Triebel–Lizorkin spaces and the boundedness for commutators. These results complement the missing components in the one-sided singular integral operator and function space theory studied before.
KW - Atomic decomposition
KW - Calderón reproducing formula
KW - Commutator
KW - One-sided Hardy space
KW - One-sided Triebel–Lizorkin space
UR - http://www.scopus.com/inward/record.url?scp=85163742117&partnerID=8YFLogxK
U2 - 10.1007/s12220-023-01340-8
DO - 10.1007/s12220-023-01340-8
M3 - 期刊論文
AN - SCOPUS:85163742117
SN - 1050-6926
VL - 33
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 9
M1 - 289
ER -