We characterize the weights w, w1, w2 such that the weighted bilinear Hardy inequality
b
a
x
a
f
q x
a
g
q
w(x)dx
1q
C
b
a
f p1w1
1
p1
b
a
gp2 w2
1
p2
holds for all nonnegative functions f and g, with a positive constant C independent of f
and g, for all possible values of q, p1 and p2 with 1 < q, p1, p2 <∞. We also characterize
the good weights for the weighted bilinear n-dimensional Hardy inequality to hold.
