Quantitative nonlinear embeddings into Lebesgue sequence spaces Academic Article

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 [Formula: see text] into [Formula: see text] ([Formula: see text]) and new insights on the coarse embeddability problem from [Formula: see text] into [Formula: see text], [Formula: see text]. Relevant to geometric group theory purposes, the exact [Formula: see text]-compression of [Formula: see text] is computed. Finally coarse deformation of metric spaces with property A and locally compact amenable groups is investigated.

authors

• Baudier, Florent

published proceedings

• JOURNAL OF TOPOLOGY AND ANALYSIS

author list (cited authors)

• Baudier, F. P.

citation count

• 4

complete list of authors

• Baudier, Florent P

publication date

• March 2016

publisher

• World Scientific Publishing  Publisher

published in

• Journal of Topology and Analysis  Journal

keywords

• Amenable Groups
• Coarse
• Compression
• Property A
• Strong Embeddings
• Uniform

Digital Object Identifier (DOI)

• 10.1142/S1793525316500011

start page

• 117

end page

• 150

volume

• 8

issue

• 1

URL

• http://dx.doi.org/10.1142/s1793525316500011