TY - JOUR T1 - Boundedness for Hardy Type Operators on Herz Spaces with Variable Exponents 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 -

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.