A Trace Inequality for Solenoidal Charges

Bogdan Raiţă, Daniel Spector*, Dmitriy Stolyarov

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

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 ℳdα(ℝd) the Morrey space of (d − α)-dimensional measures on ℝd.

原文英語
期刊Potential Analysis
DOIs
出版狀態接受/付印 - 2022

ASJC Scopus subject areas

  • 分析

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