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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AGH Univeristy of Science and Technology Press
2005-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2523.pdf |
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doaj-a3ea7f6795bb4d5b9d4226704d4e667c2020-11-24T22:26:52ZengAGH 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jincai Wang |
| spellingShingle |
Jincai Wang The exact values of nonsquare constants for a class of Orlicz spaces Opuscula Mathematica nonsquare constant Orlicz space \(\Phi_{\triangle}\)-condition |
| author_facet |
Jincai Wang |
| author_sort |
Jincai Wang |
| title |
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_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_sort |
exact values of nonsquare constants for a class of orlicz spaces |
| publisher |
AGH Univeristy of Science and Technology Press |
| series |
Opuscula Mathematica |
| issn |
1232-9274 |
| publishDate |
2005-01-01 |
| 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. |
| 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 |
| _version_ |
1725751346410291200 |