http://www.thecnj.co.uk/camden/09270...092707_14.html
quote
Revamp for Heath station

HAMPSTEAD Heath train station is in line for another multi-million
pound rebuild when Transport for London takes over the Silverlink line
in November.
The station, which had major building work this year to redesign the
ticket office and add automatic ticket gates, will be surveyed by TfL
engineers as part of an overhaul of all Silverlink stations.
They also plan to look at other stops in the borough - with the
Hampstead Heath station near the top of the TfL 'to do' list because
of crime fears and the dilapidated nature of the platform facilities.
A TfL spokesman said: "The first thing we are going to do is make sure
Hampstead Heath is safe for passengers. Once we have done that, we
will go on to look at what building works are needed to upgrade the
station."
The spokesman added that plans to increase services on the North
London line, which runs from Richmond in the west to Stratford in the
east, have yet to be confirmed.

· Passengers using the station will see fares fall from January after
TfL confirmed that the station, currently in Zone 3, is being
reclassified as a Zone 2 station to bring it in line with Tube stops
nearby.
unquote

At last - sense prevails over the zoning issue.