$www.math.cornell.edu$

John Workman

Ph.D. (2008) Cornell University

First Position

Senior research analyst, Advisory Board Company

Dissertation

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

Advisor:

Camil Muscalu

Research Area:

Harmonic analysis and partial differential equations

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.