  The Bose-Einstein condensation of bound pairs made of oppositely charged
fermions in a magnetic field is investigated. We find that the condensation
temperature shows the magnetic catalysis effect in weak coupling and the
inverse magnetic catalysis effect in strong coupling. The different responses
to the magnetic field can be attributed to the competition between the
dimensional reduction by Landau orbitals in pairing dynamics and the anisotropy
of the kinetic spectrum of fluctuations (bound pairs in the normal phase)
