𝑇1 theorems for Besov and Triebel-Lizorkin spaces

Han, Y.-S.; Hofmann, Steve

doi:10.1090/S0002-9947-1993-1097168-4

$\textrm {T}1$ theorems for Besov and Triebel-Lizorkin spaces
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Trans. Amer. Math. Soc. 337 (1993), 839-853 Request permission

Abstract:

We give simple proofs of the $T1$ theorem in the general context of Besov spaces and (weighted) Triebel-Lizorkin spaces. Our approach yields some new results for kernels satisfying weakened regularity conditions, while also recovering previously known results.

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