The solution of the Kato problem in two dimensions

The solution of the Kato problem in two dimensions
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加藤问题的二维解

DOI:
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发表时间:
2002
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通讯作者:
A. Mcintosh
A. Mcintosh
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作者:
S. Hofmann;A. Mcintosh

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我们解决,在两个维度,“加藤的平方根问题”。也就是说,对于L = -div(A(x)N),其中A(x)是一个2 × 2有界可测复系数增生矩阵,我们证明了L12:L12(R2)?L2(R2)。 [Proceedings of the 6 th International Conference on Harmonic Analysis and Partial Differential Equations,埃尔埃斯科里亚(马德里),2002].
We solve, in two dimensions, the "square root problem of Kato". That is, for L = -div (A(x)N), where A(x) is a 2 x 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2: L12(R2) ? L2(R2). [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].