研究截断极大算子Mba的Lp(Rn)→Lp(Rn)范数的连续性。首先，分别给出‖Mba‖Lp(Rn)→Lp(Rn)关于参数θ=b/a的左右连续性，然后证明‖Mba‖Lp(Rn)→Lp(Rn)在无穷远处的连续性。
This paper focuses on the continuity of Lp(Rn)→Lp(Rn)-norm of the truncated Hardy-Littlewood maximal operator Mba with two truncation parameters a and b. We first, respectively, present the left semi-continuity and right semicontinuity of ‖Mba‖Lp(Rn)→Lp(Rn) with respect to θ=b/a, and then the continuity of ‖Mba‖Lp(Rn)→Lp(Rn) is extended to infinity.
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