Header and Footer on multipage listoffigures

Question

I've using the fancyhdr package to modify the header and footer. If my \listoffigures spans multiple pages then the header and footer on page one of the LoF is not fancy. The TeX example below demonstrates this.

What am I doing wrong please?

\documentclass{report}

\usepackage[a3paper,landscape]{geometry}

\usepackage{fancyhdr}
\pagestyle{fancy}
\fancyhead{}
\fancyhead[L]{A}
\fancyhead[C]{FANCY}
\fancyhead[R]{HEADER}

\fancyfoot{}
\fancyfoot[L]{A}
\fancyfoot[C]{FANCY}
\fancyfoot[R]{FOOTER}

\begin{document}

\listoffigures\thispagestyle{fancy}

\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage
\begin{figure}[p]\begin{center}qwerty\caption{qwerty}\end{center}\end{figure}\clearpage

\end{document}

Answer 1

The first page in a chapter (and also of the list of figures, which internally uses \chapter) use the plain pagestyle. So you need to redefine it: add

\fancypagestyle{plain}{
  \fancyhead{}
  \fancyhead[L]{A}
  \fancyhead[C]{FANCY}
  \fancyhead[R]{HEADER}

  \fancyfoot{}
  \fancyfoot[L]{A}
  \fancyfoot[C]{FANCY}
  \fancyfoot[R]{FOOTER}
}

after the similar settings you already do.

If the two page styles are really identical, then saying

\makeatletter
\let\ps@plain\ps@fancy
\makeatother

will make calling the plain page style equivalent to calling the fancy page style. With the method of redefining the plain style described above you get much more flexibility.