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

DOI10.1090/memo/0871zbMath1221.42022arXivmath/0506032OpenAlexW4213028820MaRDI QIDQ3432841

Pascal Auscher

Publication date: 18 April 2007

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506032

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Linear accretive operators, dissipative operators, etc. (47B44) Higher-order elliptic equations (35J30)

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