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arXiv · 1801.10570

Embeddings for spaces of Lorentz-Sobolev type

Andreas Seeger·Walter Trebels
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Abstract

The purpose of this paper is to characterize all embeddings for versions of Besov and Triebel-Lizorkin spaces where the underlying Lebesgue space metric is replaced by a Lorentz space metric. We include two appendices, one on the relation between classes of endpoint Mikhlin-H\"ormander type Fourier multipliers, and one on the constant in the triangle inequality for the spaces $L^{p,r} $ when $p<1$.

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Andreas Seeger, Walter Trebels. 2018-01-31. Embeddings for spaces of Lorentz-Sobolev type. https://arxiv.org/abs/1801.10570

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