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arXiv · 2102.09937

An extension operator for Sobolev spaces with mixed weights

Markus Hansen·Cornelia Schneider·Flóra Orsolya Szemenyei
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Abstract

We provide an extension operator for weighted Sobolev spaces on bounded polyhedral cones $K$ involving a mixture of weights, which measure the distance to the vertex and the edges of the cone, respectively. Our results are based on Stein's extension operator for Sobolev spaces.

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Markus Hansen, Cornelia Schneider, Flóra Orsolya Szemenyei. 2021-02-19. An extension operator for Sobolev spaces with mixed weights. https://arxiv.org/abs/2102.09937

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