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

Author
Workman, John
Abstract
Analogues of multi-parameter 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.
Sponsorship
NSF and Department of Defense
Date Issued
2008-05-27Subject
paraproducts; harmonic analysis
Type
dissertation or thesis