Equivalent conditions for the validity of the Helmholtz decomposition of Muckenhoupt $A_p$-weighted $L^p$-spaces

Czechoslovak Mathematical Journal

Ryôhei Kakizawa¹ 

关键词: Helmholtz decomposition;    Muckenhoupt $A_p$-weighted $L^p$-spaces;    variational estimate;   

DOI  :  10.21136/CMJ.2018.0646-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  We discuss the validity of the Helmholtz decomposition of the Muckenhoupt $A_p$-weighted $L^p$-space $(L^p_w(\Omega))^n$ for any domain $\Omega$ in $\mathbb{R}^n$, $n \in\mathbb{Z}$, $n\geq2$, $1

【 授权许可】

Unknown