Functions in the space R2(E) at boundary points of the interior
Let E be a compact subset of the complex plane ℂ. We denote by R(E) the algebra consisting of (the restrictions to E of) rational functions with poles off E. Let m denote 2-dimensional Lebesgue measure. For p≥1, let Rp(E) be the closure of R(E) in Lp(E,dm).
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000319 |
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| _version_ | 1849305522189107200 |
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| author | Edwin Wolf |
| author_facet | Edwin Wolf |
| author_sort | Edwin Wolf |
| collection | DOAJ |
| description | Let E be a compact subset of the complex plane ℂ. We denote by R(E) the algebra consisting of (the restrictions to E of) rational functions with poles off E. Let m denote 2-dimensional Lebesgue measure. For p≥1, let Rp(E) be the closure of R(E) in Lp(E,dm). |
| format | Article |
| id | doaj-art-0171c5fe18aa4bcbbd4c19edd654d66a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0171c5fe18aa4bcbbd4c19edd654d66a2025-08-20T03:55:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016236337010.1155/S0161171283000319Functions in the space R2(E) at boundary points of the interiorEdwin Wolf0Department of Mathematics, Marshall University, Huntington 25701, West Virginia, USALet E be a compact subset of the complex plane ℂ. We denote by R(E) the algebra consisting of (the restrictions to E of) rational functions with poles off E. Let m denote 2-dimensional Lebesgue measure. For p≥1, let Rp(E) be the closure of R(E) in Lp(E,dm).http://dx.doi.org/10.1155/S0161171283000319rational functionscompact set Lp-spacesbounded point evaluationadmissible function. |
| spellingShingle | Edwin Wolf Functions in the space R2(E) at boundary points of the interior International Journal of Mathematics and Mathematical Sciences rational functions compact set Lp-spaces bounded point evaluation admissible function. |
| title | Functions in the space R2(E) at boundary points of the interior |
| title_full | Functions in the space R2(E) at boundary points of the interior |
| title_fullStr | Functions in the space R2(E) at boundary points of the interior |
| title_full_unstemmed | Functions in the space R2(E) at boundary points of the interior |
| title_short | Functions in the space R2(E) at boundary points of the interior |
| title_sort | functions in the space r2 e at boundary points of the interior |
| topic | rational functions compact set Lp-spaces bounded point evaluation admissible function. |
| url | http://dx.doi.org/10.1155/S0161171283000319 |
| work_keys_str_mv | AT edwinwolf functionsinthespacer2eatboundarypointsoftheinterior |