Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups (Q1382751)
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scientific article; zbMATH DE number 1130618
| Language | Label | Description | Also known as |
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| English | Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups |
scientific article; zbMATH DE number 1130618 |
Statements
Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups (English)
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12 April 1999
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The paper is devoted to the study of local and global Sobolev interpolation inequalities (of both weighted and non-weighted type) of higher order for the Folland-Stein Sobolev space built upon a stratified nilpotent Lie group on the so-called Boman chain domains. Approximation by polynomials is the key step of proofs as well as using of properties of projections of polynomials, proved in the paper. Applications to PDE's involving vector fields are pointed out.
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Poincaré inequalities
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doubling weights
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stratified and nilpotent Lie groups
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vector fields
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\(A_p\) weights
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polynomials on Lie groups
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Sobolev interpolation inequalities
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