Analysis on harmonic extensions of H-type groups
Classical Analysis and ODEs
2015-04-02 v1
Abstract
The subject of this PhD thesis is harmonic analysis on solvable extensions of H-type groups. Let N be an H-type group and S=NA be its solvable extension of rank one. The author study the weak type 1 boundedness of suitable Hardy-Littlewood maximal functions on S and develop a Calderon-Zygmund theory on S. The previous theory is then applied to obtain a Mihlin-Hormander type theorem for spectral multipliers of a distinguished Laplacian on S.
Cite
@article{arxiv.1504.00329,
title = {Analysis on harmonic extensions of H-type groups},
author = {Maria Vallarino},
journal= {arXiv preprint arXiv:1504.00329},
year = {2015}
}