TY - JOUR
T1 - Variable Exponent Herz Type Hardy Spaces and Their Applications
AU - B. H. Dong & J. S. Xu
JO - Analysis in Theory and Applications
VL - 4
SP - 321
EP - 353
PY - 2017
DA - 2017/10
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n4.1
UR - https://global-sci.org/intro/article_detail/ata/4643.html
KW - Hardy space, Herz space, variable exponent, maximal function, atom, molecule.
AB - <p style="text-align: justify;">In this paper, the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions, the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents.</p>