Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type (Q1862895)
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scientific article; zbMATH DE number 1885838
| Language | Label | Description | Also known as |
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| English | Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type |
scientific article; zbMATH DE number 1885838 |
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Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type (English)
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10 April 2003
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In the present paper, the authors derive fundamental solutions, representation formulas and a Moser-Trudinger inequality for Sobolev functions in the setting of groups of Heisenberg type. The problem of sharp constants in Moser-Trudinger inequalities is addressed.
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Heisenberg group
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Sobolev inequalities
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Moser-Trudinger inequalities
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best constants
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fundamental solutions
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