arXiv subjects

Jesper Tidblom

Publications and source records attributed to Jesper Tidblom.

2 recordsLinked to original sources

arXiv2009

Optimal Hardy-Sobolev-Maz'ya inequalities with multiple interior singularities

In this article we first establish a complete characterization of Hardy's inequalities in $\mathbb{R}^n$ involving distances to different codimension subspaces. In particular the corresponding potentials have strong interior singularities. We then provide necessary and sufficient conditions for the validity of Hardy-Sobolev-Maz'ya inequalities with optimal Sobolev terms.

math.AP↗

arXiv2008

On the structure of Hardy-Sobolev-Maz'ya inequalities

In this article we establish new improvements of the optimal Hardy inequality in the half space. We first add all possible linear combinations of Hardy type terms thus revealing the structure of this type of inequalities and obtaining best constants. We then add the critical Sobolev term and obtain necessary and sufficient conditions for the validity of Hardy-Sobolev-Maz'ya type inequalities.

math.AP↗