Common use of Holds Clause in Contracts

Holds. In the second case, the results of [13] show that if we choose ϕ0 to be the characteristic function of the region Ξε,δ = {(t, s) ∈ (0, 1)2 | y + εx ≤ δ}, then for ε /= 1 and any δ, the couple τ = (ϕ0, 1 − ϕ0) induces a uniformly bounded sequence of multipliers on the space of bounded ▇▇▇▇▇▇ integral operators, albeit being unbounded when acting on the whole space of bounded operators. Note that when ε = 1 and δ = 1, the couple (ϕ0, 1 − ϕ0) induces the main triangle projection discussed above. Therefore an appropriate choice of parameters δ, ε provides an example of a couple that satisfies the estimate (5.1.33) and Assumptions 5.1.2 (B)- (D), and so Proposition 5.1.8 holds. Finally, choosing ϕ0 to be the function ϕ0(t, s) = (1 − (t + s)) 1(0,1)(t + s), we obtain an example of a couple that induces uniformly bounded multipliers, τN . + Indeed, observe that ϕ0(t, s) is the restriction to R2 of the function