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MiS Preprint
56/2007

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

Helmut Abels, Miroslav Krbec and Katrin Schumacher

Abstract

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.

Received:
Jun 18, 2007
Published:
Jun 18, 2007
MSC Codes:
46E35, 46E30
Keywords:
weighted Sobolev spaces, Muckenhoupt weights, trace spaces

Related publications

inJournal
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