@article{Wang2024, 
author = {Yan Wang and Xintian Dong and Fanghui Liao},
title = {Weak Hardy spaces associated with para-accretive functions and their applications},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {30572-30596},
keywords = {weak Hardy space, para-accretive function, atomic decomposition, Calderón-Zygmund operator},
url = {https://www.sciopen.com/article/10.3934/math.20241476},
doi = {10.3934/math.20241476},
abstract = {In this paper, we introduced a new class of weak Hardy spaces, denoted by  Hbp,∞, and provided an analysis of their atomic decomposition. As an application, we established the boundedness of Calderón-Zygmund operators (CZOs) from  Hp to  Hbp,∞ including cases at the critical exponent   p=nn+δ,where  δ represents the regularity index of the distributional kernel. Moreover, the boundedness of CZOs from  Hp,∞ to  Hbp,∞ was demonstrated for   nn+δ<p≤1.}
}