The exact values of nonsquare constants for a class of Orlicz spaces
We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero. Next we discuss nonsquare constant in Orlicz spaces generated by an...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2005-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2523.pdf |
| _version_ | 1819180520290910208 |
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| author | Jincai Wang |
| author_facet | Jincai Wang |
| author_sort | Jincai Wang |
| collection | DOAJ |
| description | We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero. Next we discuss nonsquare constant in Orlicz spaces generated by an \(N\)-function \(\Phi(u)\) which satisfy \(\Phi_{\triangle}\)-condition. We obtain exact value of nonsquare constant in this class of Orlicz spaces equipped with the Luxemburg norm. |
| first_indexed | 2024-12-22T22:15:39Z |
| format | Article |
| id | doaj.art-a3ea7f6795bb4d5b9d4226704d4e667c |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-22T22:15:39Z |
| publishDate | 2005-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-a3ea7f6795bb4d5b9d4226704d4e667c2022-12-21T18:10:47ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742005-01-012523253322523The exact values of nonsquare constants for a class of Orlicz spacesJincai Wang0Suzhou University, Department of Math., Suzhou, 215006 P. R. ChinaWe extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero. Next we discuss nonsquare constant in Orlicz spaces generated by an \(N\)-function \(\Phi(u)\) which satisfy \(\Phi_{\triangle}\)-condition. We obtain exact value of nonsquare constant in this class of Orlicz spaces equipped with the Luxemburg norm.http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2523.pdfnonsquare constantOrlicz space\(\Phi_{\triangle}\)-condition |
| spellingShingle | Jincai Wang The exact values of nonsquare constants for a class of Orlicz spaces Opuscula Mathematica nonsquare constant Orlicz space \(\Phi_{\triangle}\)-condition |
| title | The exact values of nonsquare constants for a class of Orlicz spaces |
| title_full | The exact values of nonsquare constants for a class of Orlicz spaces |
| title_fullStr | The exact values of nonsquare constants for a class of Orlicz spaces |
| title_full_unstemmed | The exact values of nonsquare constants for a class of Orlicz spaces |
| title_short | The exact values of nonsquare constants for a class of Orlicz spaces |
| title_sort | exact values of nonsquare constants for a class of orlicz spaces |
| topic | nonsquare constant Orlicz space \(\Phi_{\triangle}\)-condition |
| url | http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2523.pdf |
| work_keys_str_mv | AT jincaiwang theexactvaluesofnonsquareconstantsforaclassoforliczspaces AT jincaiwang exactvaluesofnonsquareconstantsforaclassoforliczspaces |