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

M. Wang, L. S. Shu & M. Qu

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 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.

  • AMS Subject Headings

42B20, 42B35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-30-224, author = {M. Wang, L. S. Shu and M. Qu}, title = {Boundedness for Hardy Type Operators on Herz Spaces with Variable Exponents}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n2.8}, url = {http://global-sci.org/intro/article_detail/ata/4487.html} }
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 -

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.

M. Wang, L. S. Shu and M. Qu. (2014). Boundedness for Hardy Type Operators on Herz Spaces with Variable Exponents. Analysis in Theory and Applications. 30 (2). 224-235. doi:10.4208/ata.2014.v30.n2.8
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