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- W2024952371 abstract "Let 1< p ⩽2 and q be such that 1 p + 1 q =1 . It is well known that the norm of the L p -Fourier transform of the additive group R n is || F p ( R n )||=A p n , where A p = p 1 p q 1 q 1 2 . For a nilpotent Lie group G , we obtain the estimate || F p (G)||⩽A p 2 dim G−m 2 , where m is the maximal dimension of the coadjoint orbits. Such a result was known only for some particular cases." @default.
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- W2024952371 date "2003-04-01" @default.
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- W2024952371 title "Estimate of the Lp-Fourier transform norm on nilpotent Lie groups" @default.
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- W2024952371 doi "https://doi.org/10.1016/s0022-1236(02)00106-4" @default.
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