Second order estimates in interpolation theory and applications

Milman, Mario; Schonbek, Tomas

doi:10.1090/S0002-9939-1990-1075187-4

Second order estimates in interpolation theory and applications
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by Mario Milman and Tomas Schonbek PDF

Proc. Amer. Math. Soc. 110 (1990), 961-969 Request permission

Abstract:

We provide a new approach to the commutator theorems of Rochberg and Weiss [10], Jawerth, Rochberg, and Weiss [6], Cwikel, Jawerth, and Milman [4]. In particular our methods apply to non-linear operators of a type commonly encountered in classical harmonic analysis (maximal operators, square functions). As an application we provide an extension of a commutator inequality of Chanillo [3] for maximal operators of fractional integrals.

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