Abstract
We prove the Lp Hardy inequality and Lp fractional Hardy inequality for the Dunkl Laplacian on ℝN. Further, we prove the same kind of inequalities for a half-space and cone.
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Acknowledgements
The authors thank the National Institute of Science Education and Research, the Dept. of Atomic Energy, Govt. of India, for providing excellent research facility. They also thank the anonymous referee for reading the manuscript carefully, and for her/his useful comments which improved the presentation of the paper.
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Anoop, V.P., Parui, S. The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian. Isr. J. Math. 236, 247–278 (2020). https://doi.org/10.1007/s11856-020-1973-4
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DOI: https://doi.org/10.1007/s11856-020-1973-4