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Fix abstract
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pitmonticone committed Apr 30, 2024
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\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}
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