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The optimal constant in the $L^{2}$ Folland-Stein inequality on the H-type group
Published 9 Jan 2023 in math.AP | (2301.03332v4)
Abstract: We determine the optimal constant in the $L{2}$ Folland-Stein inequality on the H-type group, which partially confirms the conjecture given by Garofalo and Vassilev (Duke Math. J., 2001). The proof is inspired by the work of Frank and Lieb (Ann. of Math., 2012) and Hang and Wang.
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