The solution of the Kato problem in two dimensions. (English) Zbl 1020.47031

Hofmann, Steve; McIntosh, Alan

Publ. Mat., Barc. 2002, Spec. Vol., 143-160 (2002).

The authors solve in two dimensions the “square root problem of Kato”.

Reviewer: Niels Jacob (Swansea)

MSC:

47F05	General theory of partial differential operators
42B20	Singular and oscillatory integrals (Calderón-Zygmund, etc.)
35J25	Boundary value problems for second-order elliptic equations
47B44	Linear accretive operators, dissipative operators, etc.

Keywords:

square root problem; elliptic operators; Carleson measure