End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori
Classical Analysis and ODEs
2008-06-03 v1
Abstract
Analogues of multi-paramter multiplier operators on R^d are defined on the torus T^d. It is shown that these operators satisfy the classical Coifman-Meyer theorem. In addition, L log L and L (log L)^n end-point estimates are proved.
Cite
@article{arxiv.0806.0197,
title = {End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori},
author = {John T. Workman},
journal= {arXiv preprint arXiv:0806.0197},
year = {2008}
}
Comments
This is the author's dissertation from Cornell University. 141 pages, 0 figures