Mathematician:Charles Louis Fefferman
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American mathematician best known for his contributions to mathematical analysis.
- Contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results.
- For his contributions in a number of mathematical areas including complex multivariate analysis, partial differential equations and sub-elliptical problems.
- Born: April 18, 1949 in Washington D.C., U.S.
Theorems and Definitions
Definitions of concepts named for Charles Louis Fefferman can be found here.
- 1970: Inequalities for strongly singular convolution operators (Acta Mathematica Vol. 124: pp. 9 – 36)
- 1971: The multiplier problem for the ball (Annals of Mathematics Vol. 94, no. 2: pp. 330 – 336) www.jstor.org/stable/1970864
- 1971: Some maximal inequalities (American Journal of Mathematics Vol. 93, no. 1: pp. 107 – 115) (with E.M. Stein) www.jstor.org/stable/2373450
- 1972: $H^p$ spaces of several variables (Acta Mathematica Vol. 129: pp. 137 – 193) (with E.M. Stein)
- 1974: Weighted norm inequalities for maximal functions and singular integrals (Studia Mathematica Vol. 51, no. 3: pp. 241 – 250) (with R. Coifman)
- 1974: The Bergman kernel and biholomorphic mappings of pseudoconvex domains (Inventiones Mathematicae Vol. 26, no. 1: pp. 21 – 65)
- 1983: The uncertainty principle (Bulletin of the American Mathematical Society Vol. 9, no. 2: pp. 129 – 206)
- 1983: $L^2$-cohomology and index theorem for the Bergmann metric (Annals of Mathematics Vol. 118, no. 3: pp. 593 – 618) (with Harold Donnelly) www.jstor.org/stable/2006983
- 1996: Geometric constraints on potentially singular solutions for the 3-D Euler equations (Communications in Partial Differential Equations Vol. 21, no. 3 - 4: pp. 559 – 571) (with P. Constantin and A.J. Majda)