It is known that Gabor expansions do not converge unconditionally in L-p an
d that L-p cannot be characterized in terms of the magnitudes of Gabor coef
ficients. By using a combination of Littlewood-Paley and Gabor theory, we s
how that L-p can nevertheless be characterized in terms of Gabor expansions
, and that the partial sums of Gabor expansions converge in L-p-norm.