Volume 30, Issue 2
Boundedness for Hardy Type Operators on Herz Spaces with Variable Exponents

Anal. Theory Appl., 30 (2014), pp. 224-235

Published online: 2014-06

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• Abstract

In this paper, we will prove the boundedness of Hardy typeoperators $H_{\beta(x)}$ 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.

• Keywords

Herz spaces Hardy type operators variable exponent