Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities

Brummer, Joshua; Naibo, Virginia

doi:10.1090/proc/13841

Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities
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by Joshua Brummer and Virginia Naibo PDF

Proc. Amer. Math. Soc. 146 (2018), 1217-1230 Request permission

Abstract:

We present a unifying approach to establish mapping properties for bilinear pseudodifferential operators with homogeneous symbols in the settings of function spaces that admit a discrete transform and molecular decompositions in the sense of Frazier and Jawerth. As an application, we obtain related Kato-Ponce inequalities.

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