Quantitative nonlinear embeddings into Lebesgue sequence spaces Academic Article uri icon

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.

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

  • February 2016