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Nedra Belhadjrhouma

Publications and source records attributed to Nedra Belhadjrhouma.

2 recordsLinked to original sources
arXiv2010

Pointwise estimates for the ground states of some classes of positivity preserving operators

We establish pointwise estimates for the ground states of some classes of posi- tivity preserving operators. The considered operators are negatively perturbed (by measures) strongly local Dirichlet operators. These estimates will be written in terms of the Green's kernel of the considered operators, whose existence will be proved. In many circumstances our estimates are even sharp so that they recover known results about the subject. The results will deserve to obtain large time heat kernel estimates for the related operators.

math.FA↗
arXiv2009

Hardy's inequality in the scope of Dirichlet forms

We revisit Hardy's inequality in the scope of regular Dirichlet forms following an analytical method. We shall give an alternative necessary and sufficient condition for the occurrence of Hardy's inequality. A special emphasis will be given for the case where the Dirichlet form under consideration is strongly local, extending therefore some known results in the Euclidean case.

math.FA↗