A remark on the div-curl lemma
Volume 210 / 2012
Studia Mathematica 210 (2012), 77-92 MSC: Primary 42B20; Secondary 46E99. DOI: 10.4064/sm210-1-5
We prove the div-curl lemma for a general class of function spaces, stable under the action of Calderón–Zygmund operators. The proof is based on a variant of the renormalization of the product introduced by S. Dobyinsky, and on the use of divergence-free wavelet bases.