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

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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.

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NSF and Department of Defense

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2008-05-27T13:51:53Z

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paraproducts; harmonic analysis

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Government Document

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dissertation or thesis

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