befehle.tex

% Makros
\numberwithin{equation}{chapter}

%Zahlen
\newcommand{\N}{\mathds{N}} 
\newcommand{\Z}{\mathds{Z}} 
\newcommand{\Q}{\mathds{Q}} 
\newcommand{\R}{\mathds{R}} 
\newcommand{\K}{\mathds{K}} 
\newcommand{\C}{\mathds{C}} 

%Mengen
\newcommand{\Pot}{\mathcal{P}}
\newcommand{\BB}{\mathrm{B}}
\newcommand{\UU}{\mathrm{U}}
\newcommand{\FF}{\mathcal{F}}
\newcommand{\TT}{\mathrm{T}}
\newcommand{\Tau}{\mathcal{T}}

%Funktionenräume
\newcommand{\CC}{\mathrm{C}} 
\newcommand{\Ell}{\mathrm{L}} 
\newcommand{\Li}{\mathfrak{L}}
\newcommand{\WW}{\mathrm{W}}
\newcommand{\HH}{\mathrm{H}}

%Sonstiges
\newcommand{\1}{\mathbbm{1}}

%Differentialoperatoren
\let\divsymb=\div % rename builtin command \div to \divsymb
\renewcommand{\div}[1]{\mathrm{div\,} #1} % for divergence
\renewcommand{\d}[1]{\ensuremath\, {\operatorname{d}\!{#1}}}
\newcommand{\DD}{\ensuremath\,{\operatorname{D}}}
%\newcommand{\intlim}{\ensuremath\,{\int\limits}}

\def\esssup{\qopname\relax m{\mathrm{ess}\,sup}}


% Umgebungen für Definitionen, Sätze, usw.

\theoremstyle{plain}
\newtheorem{thm}{Theorem}[chapter]
\newtheorem{lem}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{prop}[thm]{Proposition}

\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{ex}[thm]{Example}

\theoremstyle{remark}
\newtheorem{rem}[thm]{Remark}
\newtheorem{ntion}[thm]{Notation}
\newtheorem*{motiv}{Motivation}

%Operators
\DeclareMathOperator{\Tr}{Tr}
\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\Span}{span}
\DeclareMathOperator{\loc}{loc}
\DeclareMathOperator{\pv}{pv}
\DeclareMathOperator{\konv}{konv}
\DeclareMathOperator{\dist}{dist}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\Spur}{Spur}
\DeclareMathOperator{\BUC}{BUC}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\im}{im}
\DeclareMathOperator{\abs}{abs}
\DeclareMathOperator{\Op}{Op}
\DeclareMathOperator{\Aff}{Aff}
\DeclareMathOperator{\codim}{codim}

% 3-bar-norm
\newcommand{\vertiii}[1]{{\left\vert\kern-0.25ex\left\vert\kern-0.25ex\left\vert #1 
\right\vert\kern-0.25ex\right\vert\kern-0.25ex\right\vert}}

\newcommand{\nicespace}{ \hphantom{\CC_0^\infty(\Omega)} {\settowidth{\dimen0}{$\CC_0^k(\Omega)$}\hspace*{-\dimen0}}}
\newcommand{\nicerspace}{ \hphantom{\CC^\infty(\Omega)} {\settowidth{\dimen0}{$\CC^k(\Omega)$}\hspace*{-\dimen0}}}
\newcommand{\nicestspace}{ \hphantom{\CC^\infty(\Omega)} {\settowidth{\dimen0}{$\CC^0(\Omega)$}\hspace*{-\dimen0}}}

%Alignment point in \substack

\makeatletter
\newcommand{\subalign}[1]{%
  \vcenter{%
    \Let@ \restore@math@cr \default@tag
    \baselineskip\fontdimen10 \scriptfont\tw@
    \advance\baselineskip\fontdimen12 \scriptfont\tw@
    \lineskip\thr@@\fontdimen8 \scriptfont\thr@@
    \lineskiplimit\lineskip
    \ialign{\hfil$\m@th\scriptstyle##$&$\m@th\scriptstyle{}##$\crcr
      #1\crcr
    }%
  }
}
\makeatother