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Ali Baklouti, Nour Ben Salah

The L^p–L^q version of Hardy's Theorem on nilpotent Lie groups

Let p, q be such that 2≤ p, q ≤ + ∞. We prove in this paper the L^p – L^q version of Hardy's Theorem for an arbitrary nilpotent Lie group G extending then earlier cases and the classical Hardy theorem proved recently by E. Kaniuth and A. Kumar. The case where 1 ≤ p, q ≤ + ∞ is studied for a restricted class of nilpotent Lie groups.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 03/2006
Pages: 245 - 262

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