Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
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| Creator |
Langowski, B.
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| Description |
We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev spaces. Among further results, we obtain a fractional square function characterization, structural theorems and Sobolev type embedding theorems for these potential spaces.
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| Date |
2019-02-13T17:25:21Z
2019-02-13T17:25:21Z 2015 |
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| Type |
Article
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| Identifier |
Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions / B. Langowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 29 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C10; 42C05; 42C20 DOI:10.3842/SIGMA.2015.073 http://dspace.nbuv.gov.ua/handle/123456789/147141 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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