\def\i{\mathrm i} %虚数
\newcommand\pd[2]{\frac{\partial #1}{\partial #2}} %偏导数
\newcommand\po[1]{\frac{\partial}{\partial #1}} %偏导数算子
\newcommand\d[1]{\mathrm d #1} %微分
\def\apartial{\bar{\partial}} %反全纯部分
\def\compactsub{\subset\subset} %紧包含
\def\ON{\mathrm{on}\ }
\def\IN{\mathrm{in}\ }
\def\dist{\mathrm{dist}} %距离
\newcommand\expi[1]{\mathrm e^{\i #1}} %exp(i*)
\def\harm{\mathrm{harm}} %调和函数
\def\sh{\mathrm{Sh}} %次调和函数
\def\psh{\mathrm{Psh}} %多重次调和函数
\newcommand\inp[2]{\langle #1, #2\rangle} %内积
\def\llangle{\langle\!\langle}
\def\rrangle{\rangle\!\rangle}
\newcommand\inpd[2]{\llangle #1, #2\rrangle} %内积2
\def\dom{\operatorname{Dom}} %定义域
\newcommand\sumprime[2]{\mathop{{\sum}^\prime}\limits_{#1}^{#2}} %特殊求和符号
\theoremstyle{remark}
\newtheorem*{homework}{习题}
\theoremstyle{plain}
\newtheorem*{thm}{定理}
\theoremstyle{plain}
\newtheorem*{lem}{引理}
\theoremstyle{remark}
\newtheorem*{assertion}{断言}