In this paper, we investigate the known operator inequalities for the p-Schatten norm and obtain some refinements of these inequalities when parameters taking values in different regions. Let A1, · · · ,An,B1, · · · ,Bn ∈ Bp(H) such that Σni, j=1A∗i B j = 0. Then p ≥ 2, p ≤ λ and µ ≥ 2, 21/p−µ/4n3/p−µ/4−1/2( n∑ i=1 ‖Ai‖4/µp + n∑ i=1 ‖Bi‖4/µp )µ/4 ≤ n2/p−1/2‖ n∑ i=1 |Ai|2 + n∑ i=1 |Bi|2‖1/2p/2 ≤ n2/p−2/λ( n∑ i, j=1 ‖Ai ± B j‖λp )1/λ. For 0 < p ≤ 2, p ≥ λ > 0 and 0 < µ ≤ 2, the inequalities are reversed. Moreover, we get some applications of our results