@article{7ea185b286ff4008b7e04d456b13fcb4,
title = "A Trace Inequality for Solenoidal Charges",
abstract = "We prove that for α ∈ (d − 1,d), one has the trace inequality∫ℝd|IαF|dν≤C|F|(ℝd)∥ν∥Md−α(ℝd) for all solenoidal vector measures F, i.e., F∈ Mb(ℝd; ℝd) and divF = 0. Here Iα denotes the Riesz potential of order α and ℳd−α(ℝd) the Morrey space of (d − α)-dimensional measures on ℝd.",
keywords = "Hausdorff content, L1 estimates, Riesz potential, Trace inequality",
author = "Bogdan Rai{\c t}{\u a} and Daniel Spector and Dmitriy Stolyarov",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2023",
month = dec,
doi = "10.1007/s11118-022-10008-x",
language = "English",
volume = "59",
pages = "2093--2104",
journal = "Potential Analysis",
issn = "0926-2601",
publisher = "Springer Netherlands",
number = "4",
}