Correction to: Two weight Sobolev norm inequalities for smooth Calderón–Zygmund operators and doubling weights

We correct two errors in the paper "Two weight Sobolev norm inequalities for smooth Calderón–Zygmund operators and doubling weights" published in Math. Z. Here we give a precise description of where the errors occur in the original paper, followed by an overview of the corrections, pointing to details appearing on the arXiv. We include statements of the main corrected theorems.