# The solution of the Kato problem in two dimensions.

Publicacions Matemàtiques (2002)

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

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topHofmann, 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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