A convolution inequality

被引：0
|
作者：
Pycia M. [1 ]
机构：
[1] Leon Koźminski Academy of Entrepreneurship and Management, 03-301 Warsaw
来源：
aequationes mathematicae | 1999年 / 57卷 / 2期
关键词：
Functional inequality; Functions convex on a restricted domain; Integral convolution inequality;
D O I：
10.1007/s000100050076
中图分类号：
学科分类号：
摘要：
We show that every nonnegative measurable solution of the convolution inequality φ(t)≥ ∫E φ(t + s)dμ(s), t ∈ E, (where E is a closed additive subgroup of ℝ and μ a suitable measure) is equal almost everywhere to an exponential function.) © Birkhäuser Verlag, Basel, 1999.
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页码：185 / 200
页数：15
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