Functions of bounded variation and rearrangements

Functions of bounded variation and rearrangements
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DOI:
10.1007/s00205-002-0214-9
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发表时间:
2002-11-01
影响因子:
2.5
通讯作者:
Fusco, N
Fusco, N
中科院分区:
数学1区
文献类型:
--
作者:
Cianchi, A;Fusco, N

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研究了有界变分函数对称重排的作用。特别地,建立了逐点正则化效应。证明了Polya-Szego型不等式,并给出了相等情况的刻画。
The action of the symmetric rearrangement of functions of bounded variation is investigated. In particular, pointwise regularizing effects are established. Polya-Szego type inequalities, with a characterization of equality cases, are also proved.