Operator estimates and elliptic regularity

  • Michael E. Taylor
Part of the Progress in Mathematics book series (PM, volume 100)


In order to make use of the symbol smoothing of §1.3, we need operator estimates on p(x, D) when p(x, ξ) ∈CsS 1, δ m . We give a number of such results in §2.1, most of them following from work of Bourdaud [BG]. The main result, Theorem 2.1.A, treats the case δ = 1. This will be very useful for the treatment of paradifferential operators in Chapter 3.


Operator Estimate PSEUDODIFFERENTIAL Operator Pseudo Differential Operator Regularity Result Elliptic Regularity 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Michael E. Taylor
    • 1
  1. 1.Department of MathematicsUniversity of North CarolinaChapel HillUSA

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