On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates

Auscher, Pascal

doi:10.1090/memo/0871

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On necessary and sufficient conditions for $L^{p}$-estimates of Riesz transforms associated to elliptic operators on $\Bbb R^{n}$ and related estimates

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Pascal Auscher

Publication: Memoirs of the American Mathematical Society
Publication Year: 2007; Volume 186, Number 871
ISBNs: 978-0-8218-3941-6 (print); 978-1-4704-0475-8 (online)
DOI: https://doi.org/10.1090/memo/0871
MathSciNet review: 2292385
MSC: Primary 42B20; Secondary 35J15, 35J30, 35J45, 42B25, 47B44, 47D06, 47F05

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On necessary and sufficient conditions for $L^{p}$-estimates of Riesz transforms associated to elliptic operators on $\Bbb R^{n}$ and related estimates