We construct a field theory for anyons in the lowest Landau level star
ting from the N-particle description, and discuss the connection to th
e full field theory of anyons defined using a statistical gauge potent
ial. The theory is transformed to free form, with the fields defined o
n the circle and satisfying modified commutation relations, The Fock s
pace of the anyons is discussed, and the theory is related to that of
edge excitations of an anyon droplet in a harmonic-oscillator well.