We show that the d-dimensional Haar system H^d on the unit cube I^d is a
Schauder basis in the classical Besov space B_{p,q,1}^s(I^d), 0<p<1, defined by
first order differences in the limiting case s=d(1/p-1), if and only if 0<q\le
p. For d=1 and p<q, this settles the only open case in our 1979 paper [4],
where the Schauder basis property of H in B_{p,q,1}^s(I) for 0<p<1 was left
undecided. We also consider the Schauder basis property of H^d for the standard
Besov spaces B_{p,q}^s(I^d) defined by Fourier-analytic methods in the limiting
cases s=d(1/p-1) and s=1, complementing results by Triebel [7].Comment: 27 page
