The solution of the Kato problem in two dimensions.

Steve Hofmann; Alan McIntosh

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: Extra, page 143-160
  • ISSN: 0214-1493

Abstract

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We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), 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].

How to cite

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Hofmann, Steve, and McIntosh, Alan. "The solution of the Kato problem in two dimensions.." Publicacions Matemàtiques 46.Extra (2002): 143-160. <http://eudml.org/doc/41610>.

@article{Hofmann2002,
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 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].},
author = {Hofmann, Steve, McIntosh, Alan},
journal = {Publicacions Matemàtiques},
keywords = {square root problem; elliptic operators; Carleson measure},
language = {eng},
number = {Extra},
pages = {143-160},
title = {The solution of the Kato problem in two dimensions.},
url = {http://eudml.org/doc/41610},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Hofmann, Steve
AU - McIntosh, Alan
TI - The solution of the Kato problem in two dimensions.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 143
EP - 160
AB - We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ -div (A(x)∇), 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].
LA - eng
KW - square root problem; elliptic operators; Carleson measure
UR - http://eudml.org/doc/41610
ER -

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