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| Pàgina inicial > Articles > Articles publicats > Lp bounds for Riesz transforms and square roots associated to second order elliptic operators |
| Data: | 2003 |
| Resum: | 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. The case p = 2 was already known: it is equivalent to the solution of the square root problem of T. Kato. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Matèria: | Riesz transforms ; Square roots of divergence form elliptic operators |
| Publicat a: | Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 497-515, ISSN 2014-4350 |
