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arXiv · 1210.0588

Quantitative nonlinear embeddings into Lebesgue sequence spaces

Florent P. Baudier
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Abstract

In this paper fundamental nonlinear geometries of Lebesgue sequence spaces are studied in their quantitative aspects. Applications of this work are a positive solution to the strong embeddability problem from $\ell_q$ into $\ell_p$ ($0 2$. Relevant to geometric group theory purposes, the exact $\ell_p$-compressions of $\ell_2$ are computed. Finally coarse deformation of metric spaces with property A and locally compact amenable groups is investigated.

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Florent P. Baudier. 2013-05-17. Quantitative nonlinear embeddings into Lebesgue sequence spaces. https://doi.org/10.1142/s1793525316500011

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