TY - JOUR
T1 - Boundedness for Hardy Type Operators on Herz Spaces with Variable Exponents
AU - M. Wang, L. S. Shu & M. Qu
JO - Analysis in Theory and Applications
VL - 2
SP - 224
EP - 235
PY - 2014
DA - 2014/06
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n2.8
UR - https://global-sci.org/intro/article_detail/ata/4487.html
KW - Herz spaces, Hardy type operators, variable exponent.
AB - <p style="text-align: justify;">In this paper, we will prove the boundedness of Hardy type operators $H_{\beta(x)}$ and $H^{\ast}_{\beta(x)}$of variable order $\beta(x)$ on Herz spaces $K^{\alpha(\cdot)}_{p(\cdot), q}$and $\dot{K}^{\alpha(\cdot)}_{p(\cdot), q}$, where $\alpha(\cdot)$ and $p(\cdot)$ are both variable.</p>