Higher order analogues of exterior derivative

Abstract

We give new examples of linear differential operators of order $k=2m+1$ (any given odd integer) that are invariant under the isometries of ${\mathbb{R}}^n$ and satisfy so-called $L^1$-duality estimates and div/curl inequalities.

This is an electronic reprint of the original article published in the Bulletin of the Institute of Mathematics of the Academia Sinica (New Series) {\bf 8 (3)} (2013) 389 -- 398. This reprint differs from the original in pagination and typographical detail

References in corpus (3)

• Hardy-Sobolev inequalities for vector fields and canceling linear differential operators
• Limiting fractional and Lorentz spaces estimates of differential forms
• Subelliptic Bourgain-Brezis Estimates on Groups