Jean-Lin Journé

from Wikipedia, the free encyclopedia

Jean-Lin Journé (born October 5, 1957 in Paris ; † April 2016 ) was a French mathematician who dealt with analysis.

Journé studied at the École normal supérieure from 1976 to 1981 and received his doctorate under Yves Meyer . He was a professor at the University of Paris.

In 1987 he received the Salem Prize with Guy David for their T (1) theorem in the theory of singular integral operators (theory of Caldéron-Zygmund). It is fundamental to the area.

The T (1) theorem specifies when an operator T given by a distribution as the kernel of an integral operator can be expanded to a bounded linear operator on Hilbert space . The criteria for this are essentially that the operator T and its adjoint operator applied to the unit function (hence the designation T (1)) are of bounded mean oscillation .

Fonts

  • Calderón-Zygmund Operators, Pseudo-differential Operators, and the Cauchy Integral of Calderón, Lecture notes in mathematics, Springer, 1983
  • with Guy David, Stephen Semmes : Opérateurs de Calderon-Zygmund, fonctions para-accrétives et interpolation , Rev. Mat. Iberoamericana, Volume 1, 1985, pp. 1-56
  • with Guy David: A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. (2), Vol. 120, 1984, pp. 371-397

Web links

Individual evidence

  1. ↑ Jean-Lin Journé in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ David, Journé: A boundedness criterion for generalized Calderón-Zygmund operators, Annals of Mathematics. Second Series, Volume 120, 1984, pp. 371-397
personal data
SURNAME Journé, Jean-Lin
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 5th October 1957
PLACE OF BIRTH Paris
DATE OF DEATH April 2016