Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 224–235
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.8
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 224–235
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Herz spaces Hardy type operators variable exponent.