```tex
\documentclass[a4paper,UTF8,twoside]{article}
\usepackage{tikz-cd}
\usepackage{amsmath}
\usep...
```tex
\documentclass[a4paper,UTF8,twoside]{article}
\usepackage{tikz-cd}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathrsfs}
\usepackage{extarrows}
\usepackage{mathtools}
\usepackage[margin=20mm]{geometry}
\def\ve{\varepsilon}
\newcommand{\mbR}{\mathbb{R}}
\newcommand{\mcS}{\mathcal{S}}
\newcommand{\normLo}[1]{\|#1\|_{L^1}}
\begin{document}
\begin{tikzcd}[row sep=large]
p=1:
&
&\\
&f\arrow[r, mapsto, "H"] \arrow[r, red, bend right=20]
&Hf\\
&f_n\in\mcS \arrow[u, "L^1"'] \arrow[r, mapsto, "H"]
&Hf_n \arrow[u, "\text{Conv in Measure}"']\\
&\text{Cauchy Seq in\ } L^1
&\left|\left\{x\in\mbR: |(Hf_n-Hf_m)|>\ve\right\}\right| \lesssim \dfrac{1}{\ve}\normLo{f_n-f_m},\quad \text{Thm}\ref{thm:ffinmcSHw11}\\
1
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