The Lp–Lq version of Hardy's Theorem on nilpotent Lie groups

Ali Baklouti; Nour Ben Salah

doi:10.1515/FORUM.2006.015

Published by De Gruyter May 17, 2006

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

Ali Baklouti

and Nour Ben Salah

From the journal

https://doi.org/10.1515/FORUM.2006.015

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Abstract

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.

(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

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

Abstract

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