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%Authors: L. C. Evans and R. F. Gariepy

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% Fill in the blanks or delete the following
\topmatter
\title Errata for \\
``Measure Theory and Fine Properties of Functions'' \\
by L. C. Evans and R. F. Gariepy (CRC Press, 1992)
\endtitle
\endtopmatter

\document
\baselineskip=14 pt

\centerline{June, 1993}

\bigskip
\label{Page 21}Add ``$g_k \to g\ \mu$ a\.e\.'' to the hypotheses of
Theorem~4.

\bigskip
\label{Page 21}A better proof of Theorem~5 is to observe $(*)$ implies
$$
\int \sum_{j=1}^{\i} |f_{kj} - f|d\mu < \i,
$$
and so
$$
\sum_{j=1}^{\i} |f_{kj} - f| < \i\ \mu \text{ a\.e.}
$$

\bigskip
\label{Page 41, line 8}Delete ``$\mu(A - {\dsize{\cup_{m=-\i}^{\i}}}
A_m) =$''.

\bigskip
\label{Page 45, lines 6 and 9}``Lebesgue''.

\bigskip
\label{Page 50, lines 7-8}``Caratheodory''.

\bigskip
\label{Page 66}A better proof of Lemma~1 is to note $A = \{g \ge 0\}
\cap \{y \ge 0\}$, for the measurable function $g(x,y) = f(x) - y$.

\bigskip
\label{Page 71, line 11}``Corollary 2 in Section 1\.5\.1''.

\bigskip
\label{Page 73, line 6}``PROOF''.

\bigskip
\label{Page 81, line 11}``$L(y-x)$''.

\bigskip
\label{Page 93, line 5}``Theorem 4 in Section 1\.1\.1''.

\bigskip
\label{Page 98, line 5}``Fix $0 < \e \le 1$''.

\bigskip
\label{Page 104, line 12}``$y \in {\Bbb R}^m$''.

\bigskip
\label{Page 105, line -9}Assertion (i) is false if $n > m$.  Delete
lines -3, -4, -9.

\bigskip
\label{Page 109, line -12}``$A \subset {\Bbb R}^n$''.

\bigskip
\label{Page 115, line 11}``Fix $0 < \e \le 1$''.

\bigskip
\label{Page 115, line -1}``${\Cal H}^{n-m}$''.

\bigskip
\label{Page 128, Figure 4\.2}Change ``$\e$'' to ``$\epsilon$''.

\bigskip
\label{Page 130, line -6}Add ``$dx$'' to the first integral.

\bigskip
\label{Page 145, lines -6, -9, -10}Change ``$\epsilon^{-n}$'' to
``$\epsilon^{-n/p}$''.

\bigskip
\label{Page 171, line -1}Change ``$Df$'' to ``$[Df]$''.

\bigskip
\label{Page 175, line -3}``Theorem 2 in Section 5\.2\.2''.

\bigskip
We are very grateful to N\. V\. Krylov and especially W\. Strauss for
providing us with lists of errors.

An updated version of this errata sheet is posted in an \AmSTeX\ file,
available by anonymous ftp from ``math\.berkeley\.edu'' in the
directory ``L\underbar{\ }C\underbar{\ }Evans''.  To access this file, execute these
commands:

ftp math\.berkeley\.edu

login: anonymous 

password: (your e-mail address) 

cd pub/L\underbar{\ }C\underbar{\ }Evans

get errata\.Evans-Gariepybook

\enddocument