@article{oai:oist.repo.nii.ac.jp:00001693, author = {Spector, Daniel}, issue = {3}, journal = {Journal of Functional Analysis}, month = {Apr}, note = {In this paper we establish an optimal Lorentz space estimate for the Riesz potential acting on curl-free vectors: There is a constant C = C(α,d) > 0 such that [Formula: see text] for all fields F ∈ L1(Rd;Rd) such that curl F = 0 in the sense of distributions. This is the best possible estimate on this scale of spaces and completes the picture in the regime p = 1 of the well-established results for p > 1.}, title = {An optimal Sobolev embedding for L1}, volume = {279}, year = {2020} }