Near-extremizers of Young's inequality for discrete groups
Classical Analysis and ODEs
2011-12-19 v1
Abstract
Those functions which nearly extremize Young's convolution inequality are characterized for discrete groups which have no nontrivial finite subgroups. Near-extremizers of the Hausdorff-Young inequality are characterized for Z^d.
Keywords
Cite
@article{arxiv.1112.3716,
title = {Near-extremizers of Young's inequality for discrete groups},
author = {Marcos Charalambides and Michael Christ},
journal= {arXiv preprint arXiv:1112.3716},
year = {2011}
}