Remarks on the Gross-Sobolev, Hirschman, and Pauli-Heisenberg-Weyl fundamental inequalities and the entropy inequality (Q2377530)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on the Gross-Sobolev, Hirschman, and Pauli-Heisenberg-Weyl fundamental inequalities and the entropy inequality |
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Remarks on the Gross-Sobolev, Hirschman, and Pauli-Heisenberg-Weyl fundamental inequalities and the entropy inequality (English)
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19 January 2009
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In this paper, the following results are established: (i) The entropy and Gross-Sobolev inequalities imply the Pauli-Heisenberg-Weyl inequality. (ii) The entropy and Hirschman inequalities imply the Pauli-Heisenberg-Weyl inequality. (iii) The entropy and Hirschman inequalities imply the Gross-Sobolev inequality.
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Entropy
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Hirschman inequality
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inequalities
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