| Volume 10, Number 6, 2020, Pages 2619-2630 DOI：10.11948/20190433 |
| On an extended Hardy-Hilbert""s inequality in the whole plane |
| Zhaohui Gu,Bicheng Yang |
| Keywords:Hardy-Hilbert""s inequality, parameter, weight coefficient, equivalent form, operator expression. |
| Abstract: |
| By introducing independent parameters and applying the weight coefficients, we give an extended Hardy-Hilbert""s inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered. |
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