Admissible Differential Bases in Banach Spaces
In the present work, a new method for constructing differential bases is presented. The bases constructed by this method allow us to distinguish symmetric spaces with different behaviour of fundamental functions at zero, as in the case of Hayes and Stokolos, and even allow us to distinguish Lorentz...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/748645 |
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| _version_ | 1832552401665523712 |
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| author | Evgenii I. Berezhnoj |
| author_facet | Evgenii I. Berezhnoj |
| author_sort | Evgenii I. Berezhnoj |
| collection | DOAJ |
| description | In the present work, a new method for constructing differential bases is presented. The bases constructed by this method allow us to distinguish symmetric spaces with different behaviour of fundamental functions at zero, as in the case of Hayes and Stokolos, and even allow us to distinguish Lorentz and Marzinkiewicz spaces or Lebesgue and Marzinkiewicz spaces whose fundamental functions are the same. |
| format | Article |
| id | doaj-art-ea66c6e9df134fd1b1abdb80660c531a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea66c6e9df134fd1b1abdb80660c531a2025-02-03T05:58:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/748645748645Admissible Differential Bases in Banach SpacesEvgenii I. Berezhnoj0Yaroslavl State University, Sovetskaya Street 14, Yaroslavl 150000, RussiaIn the present work, a new method for constructing differential bases is presented. The bases constructed by this method allow us to distinguish symmetric spaces with different behaviour of fundamental functions at zero, as in the case of Hayes and Stokolos, and even allow us to distinguish Lorentz and Marzinkiewicz spaces or Lebesgue and Marzinkiewicz spaces whose fundamental functions are the same.http://dx.doi.org/10.1155/2013/748645 |
| spellingShingle | Evgenii I. Berezhnoj Admissible Differential Bases in Banach Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Admissible Differential Bases in Banach Spaces |
| title_full | Admissible Differential Bases in Banach Spaces |
| title_fullStr | Admissible Differential Bases in Banach Spaces |
| title_full_unstemmed | Admissible Differential Bases in Banach Spaces |
| title_short | Admissible Differential Bases in Banach Spaces |
| title_sort | admissible differential bases in banach spaces |
| url | http://dx.doi.org/10.1155/2013/748645 |
| work_keys_str_mv | AT evgeniiiberezhnoj admissibledifferentialbasesinbanachspaces |