Direct and converse imbedding theorems for seminormed spaces (Q1812847)
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scientific article; zbMATH DE number 4395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct and converse imbedding theorems for seminormed spaces |
scientific article; zbMATH DE number 4395 |
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Direct and converse imbedding theorems for seminormed spaces (English)
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25 June 1992
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The author considers the space of functions with the seminorm: \[ \sum_{|\beta|= r}\Biggl\{ \int_{x_ n> 0} | x^ \alpha_ n D^ \beta f(x)|^ p dx\Biggr\}^{1/p},\qquad 1\leq p\leq \infty, \] where \(\alpha\) is a real number. She proves trace embedding theorems for such spaces.
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direct and converse imbedding theorems
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trace embedding theorems
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