@Article{ATA-29-267, author = {X. Nie, S. Wang and D. Yan}, title = {Endpoint Estimates for Hardy Operator’s Conjugate Operator with Power Weight on $n$-Dimensional Space}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {3}, pages = {267--274}, abstract = {

In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on $n$-dimensional space. The operator $H^*_n$ is bounded from $L^1_{x^\alpha}(\mathbb{G}^n)$ to $L^q_{x^\beta}(\mathbb{G}^n)$ with the bound explicitly worked out and the similar result holds for $\mathcal{H}^\ast_n$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n3.6}, url = {http://global-sci.org/intro/article_detail/ata/5062.html} }