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\chapter*{Introduction} | ||
\label{chap:intro} |
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\chapter{Case 1} | ||
\label{chap:case1} | ||
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% LEMMA TEMPLATE | ||
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% \begin{lemma}[Name] | ||
% \label{lemma_label} | ||
% \lean{lemma_lean_name} | ||
% \leanok % | ||
% Let $m\geq 1$. If $f:G\to\bbr$ is such that $\bbe_x f(x)=0$ and $\abs{f(x)}\leq 2$ for all $x$ then | ||
% \[\bbe_{x_1,\ldots,x_n} \abs{\sum_{i=1}^n f(x_i)}^{2m} \leq (4mn)^{m}.\] | ||
% \end{lemma} | ||
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% \begin{lemma}[Marcinkiewicz-Zygmund inequality] | ||
% \label{mzi} | ||
% \lean{other_marcinkiewicz_zygmund'} | ||
% \leanok | ||
% Let $m\geq 1$. If $f:G\to\bbr$ is such that $\bbe_x f(x)=0$ and $\abs{f(x)}\leq 2$ for all $x$ then | ||
% \[\bbe_{x_1,\ldots,x_n} \abs{\sum_{i=1}^n f(x_i)}^{2m} \leq (4mn)^{m}.\] | ||
% \end{lemma} |
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\chapter{Case 2} | ||
\label{chap:case2} |
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