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Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats

Articles	3 registres trobats

18 p, 277.1 KB

The solution of the Kato problem in two dimensions / Hofmann, Steve (University of Missouri-Columbia. Department of Mathematics) ; McIntosh, Alan (Australian National University. Centre for Mathematics and its Applications)
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).
2002 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_Esco02_06
Publicacions matemàtiques, Vol. Extra (2002) , p. 143-160

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28 p, 241.9 KB

On Lp estimates for square roots of second order elliptic operators on Rn / Auscher, Pascal
We prove that the square root of a uniformly complex elliptic operator L = − div(A∇) with bounded measurable coefficients in Rn satisfies the estimate kL 1/2fkp . k∇fkp for sup(1, 2n n+4 − ε) < p < 2n n−2 + ε, which is new for n ≥ 5 and p < 2 or for n ≥ 3 and p > 2n n−2. [...]
2004 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_48104_08
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 159-186

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19 p, 196.1 KB

Lp bounds for Riesz transforms and square roots associated to second order elliptic operators / Hofmann, Steve ; Martell, José María
We consider the Riesz transforms ∇L−1/2, where L≡− divA(x)∇, and A is an accretive, n × n matrix with bounded measurable complex entries, defined on Rn. We establish boundedness of these operators on Lp(Rn), for the range pn < p ≤ 2, where pn = 2n/(n + 2), n ≥ 2, and we obtain a weak-type estimate at the endpoint pn. [...]
2003 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_47203_12
Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 497-515

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