2016년 12월 30일 금요일

Kato expectation

Kato expectation

The Kato expectation (I seem to win) is a problem of the mathematics named after the name of mathematician Toshio Kato (professor at University of California, Berkeley). Kato suggested this expectation for the first time in 1953 [1]. The problem almost remained unsolved during half a century until it was settled jointly in 2001 by Pascal Auscher, Steve ホーフマン, Michael Ray sea, alane Macintosh and Philippe Tchamitchian [2].

Footnote

  1. ^ Kato, Tosio (1953). "Integration of the equation of evolution in a Banach space." J. Math. Soc. It is doi: 208-234 Japan 5 10.2969/jmsj/00520208. MR 0058861. 
  2. ^ Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Philippe (2002). "The solution of the Kato square root problem for second order elliptic operators on Rn." Annals of Mathematics 156 (2): 633–654. doi: 10.2307/3597201. MR 1933726. 
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