MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

On the Trace Space of a Sobolev Space with a Radial Weight

Helmut Abels, Miroslav Krbec and Katrin Schumacher


Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.

MSC Codes:
46E35, 46E30
weighted Sobolev spaces, Muckenhoupt weights, trace spaces

Related publications

2008 Journal Open Access
Helmut Abels, Miroslav Krbec and Katrin Schumacher

On the trace space of a Sobolev space with a radial weight

In: Journal of function spaces and applications, 6 (2008) 3, pp. 259-276