| Autor: |
Balinsky, A., Evans, W. D., Hundertmark, D., Lewis, R. T. |
| Rok vydání: |
2007 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
The main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent improved Sobolev inequality derived by M. Ledoux which brings out the connection between Sobolev embeddings and heat kernel bounds. Here Ledoux's technique is applied to the operator $L:= {\bf{x}} \cdot \nabla$ and the analysis requires the determination of the operator semigroup $\{e^{-tL^{*}L}\}_{t>0}$ and its properties. |
| Databáze: |
arXiv |
| Externí odkaz: |
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