Endpoint L1 estimates for Hodge systems

Felipe Hernandez, Bogdan Raiță, Daniel Spector*

*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

Let d≥ 2. In this paper we give a simple proof of the endpoint Besov-Lorentz estimate ‖IαF‖B˙d/(d-α),10,1(Rd;Rk)≤C‖F‖L1(Rd;Rk)for all F∈ L1(Rd; Rk) which satisfy a first order cocancelling differential constraint, where α∈ (0 , d) and Iα is a Riesz potential. We show how this implies endpoint Besov–Lorentz estimates for Hodge systems with L1 data via fractional integration for exterior derivatives.

原文英語
期刊Mathematische Annalen
DOIs
出版狀態接受/付印 - 2022

ASJC Scopus subject areas

  • 數學(全部)

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