The first measurements of the correlators K1 (r) = ⟨[Δur2 (x) - ⟨Δur2 (x)⟩] [ε(x) - - ⟨ε(x)⟩]⟩ and K2 (r) = ⟨Δur2 (x) ε(x)⟩ for separations r within the inertial range are executed in the return channel of the large wind tunnel at Rλ ≈ 3.2 · 103 and in the atmospheric surface layer at Rλ ≈ (6.9-12.7) · 103. (Here u denotes velocity component in the direction x of the mean flow, Δur (x) = u(x) - u(x + r), and ε(x) is the energy dissipation rate.) It is demonstrated that the power laws Ki (r) ∝ rβi, i = 1.2, with the exponents β1 ≈ 0.37 ± 0.07 and β2 ≈ 0.52 ± 0.04 reasonably approximate both correlators within the inertial range.