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