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Extremals and stability for the Folland-Stein inequality on H-type groups

Yang, Zhipeng
arXiv (All) · Papers
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analysis-of-pdesclassical-analysis-and-odes
We classify all real extremals of the sharp $L^2$ Folland-Stein inequality on H-type groups and prove a global Bianchi-Egnell stability estimate. The linearized kernel at the standard bubble consists exactly of its translation and dilation derivatives. We also obtain explicit bounds for the spectral
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