End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori

Details End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori

2008-06-02

arxiv.org/abs/0806.0197v1

Mathematics

Classical Analysis and ODEs

This is the author's dissertation from Cornell University. 141 pages, 0 figures

Scientific paper

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.

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