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Licensed Unlicensed Requires Authentication Published by De Gruyter May 17, 2006

The LpLq version of Hardy's Theorem on nilpotent Lie groups

Ali Baklouti EMAIL logo and Nour Ben Salah
From the journal


Let p, q be such that 2≤ p, q ≤ + ∞. We prove in this paper the Lp – Lq 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.

(Communicated by Karl-Hermann Neeb)

Received: 2004-05-19
Revised: 2004-10-01
Accepted: 2004-10-04
Published Online: 2006-05-17
Published in Print: 2006-03-21

© Walter de Gruyter

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