Home > Articles > Published articles > The solution of the Kato problem in two dimensions |
Date: | 2002 |
Abstract: | We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ − div(A(x)∇), where A(x) is a 2 × 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2 : L2 1(R2) → L2(R2). |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Square roots of divergence form elliptic operators ; Carleson measures |
Published in: | Publicacions matemàtiques, Vol. Extra (2002) , p. 143-160, ISSN 2014-4350 |
18 p, 277.1 KB |