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Hardy–Sobolev inequalities in unbounded domains and heat kernel estimates

✍ Scribed by Konstantinos T. Gkikas

Book ID
118161443
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
453 KB
Volume
264
Category
Article
ISSN
0022-1236

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Logarithmic Derivatives of Heat Kernels
Logarithmic Derivatives of Heat Kernels and Logarithmic Sobolev Inequalities with Unbounded Diffusion Coefficients on Loop Spaces
✍ Shigeki Aida 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 294 KB

dedicated to professor norio shimakura on the occasion of his sixtieth birthday In this paper, we will give a sufficient condition on the logarithmic derivative of the heat kernel under which a logarithmic Sobolev inequality (LSI, in abbreviation) on a loop space holds. As an application, we prove