Operator estimates and elliptic regularity
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.
KeywordsOperator Estimate PSEUDODIFFERENTIAL Operator Pseudo Differential Operator Regularity Result Elliptic Regularity
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