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Smoothness of extremizers of a convolution inequality

✍ Scribed by Michael Christ; Qingying Xue


Book ID
113796184
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
97
Category
Article
ISSN
0021-7824

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📜 SIMILAR VOLUMES


On Possible Deterioration of Smoothness
✍ A.Muhammed Uludağ 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 245 KB

We give some sufficient conditions of deterioration of smoothness under the operation of convolution. We show that the convolution of two probability densities which are restrictions to ‫ޒ‬ of entire functions can possess infinite essential supremum on each interval.