The solution of the Kato problem in two dimensions
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).
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:138523 |
| Acceso en línea: | https://ddd.uab.cat/record/138523 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_06 |
| Access Level: | acceso abierto |
| Palabra clave: | Square roots of divergence form elliptic operators Carleson measures |
| Sumario: | 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). |
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