Sharp constant of Hardy operators corresponding to general positive measures
Abstract We investigate a new kind of Hardy operator Hμ $H_{\mu}$ with respect to arbitrary positive measures μ and prove that Hμ $H_{\mu}$ is bounded on Lp(dμ) $L^{p}(d\mu)$ with an upper constant p/(p−1) $p/(p-1)$. Moreover, we characterize a sufficient condition about the measure which makes p/(p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1660-8 |