An embedding theorem for Campanato spaces
The purpose of this paper is to give a Sobolev type embedding theorem for the spaces $mathcal{L}_{p,q}^{lambda,s}(mathbb{R}^{n})$. The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and the Campanato spaces $mathcal{L}^{2,lambda}$. Ou...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/66/abstr.html |
| _version_ | 1818485227285118976 |
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| author | Azzeddine El Baraka |
| author_facet | Azzeddine El Baraka |
| author_sort | Azzeddine El Baraka |
| collection | DOAJ |
| description | The purpose of this paper is to give a Sobolev type embedding theorem for the spaces $mathcal{L}_{p,q}^{lambda,s}(mathbb{R}^{n})$. The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and the Campanato spaces $mathcal{L}^{2,lambda}$. Our result extends some injections obtained by Campanato [3,4], Strichartz [11], and Stein and Zygmund [10]. |
| first_indexed | 2024-12-10T16:05:45Z |
| format | Article |
| id | doaj.art-b3dbdb3bc62b4b6eaf240bdd28934228 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T16:05:45Z |
| publishDate | 2002-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-b3dbdb3bc62b4b6eaf240bdd289342282022-12-22T01:42:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-07-01200266117An embedding theorem for Campanato spacesAzzeddine El BarakaThe purpose of this paper is to give a Sobolev type embedding theorem for the spaces $mathcal{L}_{p,q}^{lambda,s}(mathbb{R}^{n})$. The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and the Campanato spaces $mathcal{L}^{2,lambda}$. Our result extends some injections obtained by Campanato [3,4], Strichartz [11], and Stein and Zygmund [10].http://ejde.math.txstate.edu/Volumes/2002/66/abstr.htmlSobolev embeddingsBMOCampanato spaces. |
| spellingShingle | Azzeddine El Baraka An embedding theorem for Campanato spaces Electronic Journal of Differential Equations Sobolev embeddings BMO Campanato spaces. |
| title | An embedding theorem for Campanato spaces |
| title_full | An embedding theorem for Campanato spaces |
| title_fullStr | An embedding theorem for Campanato spaces |
| title_full_unstemmed | An embedding theorem for Campanato spaces |
| title_short | An embedding theorem for Campanato spaces |
| title_sort | embedding theorem for campanato spaces |
| topic | Sobolev embeddings BMO Campanato spaces. |
| url | http://ejde.math.txstate.edu/Volumes/2002/66/abstr.html |
| work_keys_str_mv | AT azzeddineelbaraka anembeddingtheoremforcampanatospaces AT azzeddineelbaraka embeddingtheoremforcampanatospaces |