设Mn（n≥2）是de Sitter空间Snp＋p（1）中的紧致类空子流形.得到了Mn上Laplacian算子的第一特征值1λ的两个积分不等式.作为推论,若Mn是极大类空子流形,则有λ1≥n,等号成立当且仅当Mn等距于欧氏单位球面.%Let Mn（n≥2）be compact space-like submanifold in de Sitter space Sn＋pp（1）.In this paper,weobtain two integral inequalities for the first eigenvalue λ1of Laplacian on Mn.As corollary,if Mn is maximal,then λ1≥n,equality holds if and only if Mn isometrics to a unit sphere.
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