Abstract
The main purpose of this paper is to establish some isoperimetric type inequalities for mappings induced by the weighted Laplace differential operators. The obtained results of this paper provide improvements and extensions of the corresponding known results.
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Acknowledgements
We would like to sincerely thank the referee for many valuable suggestions. We also would like to thank professor David Kalaj and Miodrag Mateljević for their valuable comments. The first author (Jiaolong Chen) is partially supported by NNSF of China (No. 12071121), NSF of Hunan Province (No. 2022JJ30365), SRF of Hunan Provincial Education Department (No. 22B0034) and the construct program of the key discipline in Hunan Province. The second author (Shaolin Chen) is partially supported by NNSF of China (No. 12071116), Hunan Provincial Natural Science Foundation of China (No. 2022JJ10001), and the Key Projects of Hunan Provincial Department of Education (No. 21A0429).
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Chen, J., Chen, S., Huang, M. et al. Isoperimetric Type Inequalities for Mappings Induced by Weighted Laplace Differential Operators. J Geom Anal 33, 216 (2023). https://doi.org/10.1007/s12220-023-01296-9
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DOI: https://doi.org/10.1007/s12220-023-01296-9
Keywords
- Isoperimetric type inequality
- Poisson type integral
- Hardy type space
- Bergman type space
- \((K,K')\)-elliptic mapping