ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE

Zhaohui Gu; Bicheng Yang

doi:10.11948/20190433

2020 Volume 10 Issue 6

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Zhaohui Gu, Bicheng Yang. ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2619-2630. doi: 10.11948/20190433

Citation:

Zhaohui Gu, Bicheng Yang. ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2619-2630. doi: 10.11948/20190433

ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE

Zhaohui Gu¹,
Bicheng Yang^2, ,

1.
School of Economics and Trade, Guangdong University of Foreign Studies, Guangzhou 510006, China
2.
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China

Corresponding author: Email address:bcyang@gdei.edu.cn(B. Yang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 61772140), and Science and Technology Planning Project Item of Guangzhou City (No. 201707010229)

Abstract

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.
- Hardy-Hilbertos inequality /
- parameter /
- weight coefficient /
- equivalent form /
- operator expression
MSC: 26D15

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References

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