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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

About this Title

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)
MathSciNet review: 2292385
MSC: Primary 42B20; Secondary 35J15, 35J30, 35J45, 42B25, 47B44, 47D06, 47F05

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Table of Contents


  • 1. Beyond Calderón-Zygmund operators
  • 2. Basic $L^2$ theory for elliptic operators
  • 3. $L^p$ theory for the semigroup
  • 4. $L^p$ theory for square roots
  • 5. Riesz transforms and functional calculi
  • 6. Square function estimates
  • 7. Miscellani

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