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25 April 2024

» arxiv » 1305.0226

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Hardy's type inequality for the over critical exponent associated with the Dunkl transform
Rahmouni Atef ;
Date:	1 May 2013
Abstract:	begin{abstract} For the Hardy space $H^p(mathbb{R}^{d})$, $ 0<pleq 1,$ we shall improve a Hardy’s type inequality associated with Dunkl transform respect to the measures $dmu_{k}$ homogeneous of degree $gamma ,$ on the strip $(2gamma+d)(2-p)leqsigma<2gamma+d+p(N+1),$ where $N =[(2gamma+d)(1/p-1)]$ is the greatest integer not exceeding $(2gamma+d)(1/ p -1).$ end{abstract}
Source:	arXiv, 1305.0226
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