Some remarks on L1 embeddings in the subelliptic setting

Steven G. Krantz, Marco M. Peloso, 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

In this paper we establish an optimal Lorentz estimate for the Riesz potential in the L1 regime in the setting of a stratified group G: Let Q≥2 be the homogeneous dimension of G and Iα denote the Riesz potential of order α on G. Then, for every α∈(0,Q), there exists a constant C=C(α,Q)>0 such that ‖Iαf‖LQ∕(Q−α),1(G)≤C‖XI1f‖L1(G)for all f∈Cc(G) such that XI1f∈L1(G), where X denotes the horizontal gradient.

原文英語
文章編號112149
期刊Nonlinear Analysis, Theory, Methods and Applications
202
DOIs
出版狀態已發佈 - 2021 一月
對外發佈

ASJC Scopus subject areas

  • 分析
  • 應用數學

指紋

深入研究「Some remarks on L<sup>1</sup> embeddings in the subelliptic setting」主題。共同形成了獨特的指紋。

引用此