Nicholas wrote: I do not know what the name means, (possibly compound) but....
Compound Slavic names, like Lubomyr, Vladimir/Wolodymyr, Vladislav, Miroslav, Svjatopluk, etc etc, cannot be strictly translated. They date to the pre-Christian era and seem to be modeled on some similar compound names in Iranian (much of the Slavs' religious vocabulary also came from Iranian peoples like Scythians, Sarmatians, Alans and others, e.g. Bog 'God', svjat 'holy' etc etc).
It is interesting that such names are not "Christian" names in the Western sense, but they are acknowledged among Christians in the annual calendars, e.g. namedays.
While it's not possible to really translate such names, it is possible to determine a basic meaning for the two components.
With Lubomyr, the first part has the meaning of 'love, affection', the second 'peace'.