NOTES ON THE HERZ-TYPE HARDY SPACES OF VARIABLE SMOOTHNESS AND INTEGRABILITY
NOTES ON THE HERZ-TYPE HARDY SPACES OF VARIABLE SMOOTHNESS AND INTEGRABILITY
复制标题
DOI：
10.7153/mia-19-11
复制
发表时间：
2016-01-01
影响因子：
1
通讯作者：
Seghiri, Fakhreddine
中科院分区：
文献类型：
--
作者：
Drihem, Douadi;Seghiri, Fakhreddine
The aim of this paper is twofold. First we give a new norm equivalents of the variable Herz spaces K-p(.),q(.)(alpha(.)) (Rn) and K-p(.),q(.)(alpha(.)) (Rn). Secondly we use these results to prove the atomic decomposition for Herz-type Hardy spaces of variable smoothness and integrability. Also, we prove the boundedness of a wide class of sublinear operators on these spaces, which includes maximal, potential and Calderon-Zygmund operators.
