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Fix a few issues (#5)
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pitmonticone authored Apr 30, 2024
1 parent 1409c61 commit 758234f
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27 changes: 13 additions & 14 deletions .vscode/settings.json
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@@ -1,23 +1,22 @@
{
"files.exclude": {
"**/.git": true,
".devcontainer": true,
".docker": true,
"**/.DS_Store": true,
"**/*.olean": true,
"**/.DS_yml": true,
"**/.git": true,
"**/.gitpod.yml": true,
"**/.vscode": true,
".docker": true,
"build": true,
"html": true,
"lake-packages": true,
".gitignore": true,
"lake-manifest.json": true,
"lakefile.lean": true,
"lean-toolchain": true,
"mathematics_in_lean.pdf": true,
"LICENSE":true,
".devcontainer":true,
"lean-tactics.tex":true
"**/*.olean": true,
"build": true,
"html": true,
"lake-manifest.json": true,
"lake-packages": true,
"lakefile.lean": true,
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"LICENSE": true,
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},
"editor.minimap.enabled": false,
"editor.acceptSuggestionOnEnter": "off",
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15 changes: 8 additions & 7 deletions blueprint/src/chapter/main.tex
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Expand Up @@ -9,15 +9,16 @@

\date{\today}

\maketitle

\begin{abstract}
We prove bounds for a generalized of Carleson operator on doubling metric measure spaces. We also
reduce explicitly Carleson's classical result on
pointwise control of Fourier series.
Both proofs are very detailed in a way suitable as blueprint for a computer verification of our results with present capability of the software package Lean. Even Carleson's classical result has not yet been computer verified.
We prove bounds for a generalized version of the Carleson operator on doubling metric measure spaces.
We also explicitly reduce Carleson's classical result on pointwise control of Fourier series.
Both proofs are very detailed, suitable as a blueprint for computer verification of our results with
the current capabilities of the software package Lean.
Even Carleson's classical result has not yet been computer verified.
\end{abstract}

\maketitle

\tableofcontents

\chapter{Introduction}
Expand Down Expand Up @@ -8116,7 +8117,7 @@ \section{Carleson on the real line}
\end{proof}


The preceeding four lemmas show that $(\R, \rho, \mu, 4)$ is a doubling metric measure space. Indeed, we even show
The preceding four lemmas show that $(\R, \rho, \mu, 4)$ is a doubling metric measure space. Indeed, we even show
that $(\R, \rho, \mu, 1)$ is a doubling metric measure space, but we may relax the estimate in Lemma \ref{real line doubling} to conclude that $(\R, \rho, \mu, 4)$
is a doubling metric measure space.

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10 changes: 5 additions & 5 deletions blueprint/src/print.tex
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Expand Up @@ -19,11 +19,11 @@
\usepackage{mathtools}
\usepackage[warnings-off={mathtools-colon,mathtools-overbracket}]{unicode-math}
\usepackage{fontspec}
\setmathfont{Latin Modern Math}
\setmathfont[range=\varnothing]{Asana-Math.otf}
\setmathfont[range=\pitchfork]{Asana-Math.otf}
\setmathfont[range=\intprod]{Asana-Math.otf}
\setmathfont[range=\int]{Latin Modern Math}
% \setmathfont{Latin Modern Math}
% \setmathfont[range=\varnothing]{Asana-Math.otf}
% \setmathfont[range=\pitchfork]{Asana-Math.otf}
% \setmathfont[range=\intprod]{Asana-Math.otf}
% \setmathfont[range=\int]{Latin Modern Math}

\usepackage{amsthm}
\usepackage{etexcmds}
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