BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM
It is proved that space is strongly notmed, and is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over space and over metric spaces of 0 < p £ 1, is determined.
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2018-07-01
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| Series: | Вестник Донского государственного технического университета |
| Subjects: | |
| Online Access: | https://vestnik.donstu.ru/jour/article/view/455 |
| _version_ | 1818056688120365056 |
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| author | Galina Y. Ryabykh Vladimir G. Ryabykh |
| author_facet | Galina Y. Ryabykh Vladimir G. Ryabykh |
| author_sort | Galina Y. Ryabykh |
| collection | DOAJ |
| description | It is proved that space is strongly notmed, and is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over space and over metric spaces of 0 < p £ 1, is determined. |
| first_indexed | 2024-12-10T12:32:49Z |
| format | Article |
| id | doaj.art-098e1861f7794aa1af4a30c1271b38ba |
| institution | Directory Open Access Journal |
| issn | 1992-5980 1992-6006 |
| language | Russian |
| last_indexed | 2024-12-10T12:32:49Z |
| publishDate | 2018-07-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Вестник Донского государственного технического университета |
| spelling | doaj.art-098e1861f7794aa1af4a30c1271b38ba2022-12-22T01:48:44ZrusDon State Technical UniversityВестник Донского государственного технического университета1992-59801992-60062018-07-01121-11524448BERGMANN AND HARDY SPACES AND CONJUGATE OF THEMGalina Y. Ryabykh0Vladimir G. Ryabykh1Don State Technical University.Southern Federal University.It is proved that space is strongly notmed, and is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over space and over metric spaces of 0 < p £ 1, is determined.https://vestnik.donstu.ru/jour/article/view/455hardy spacebergmann spaceextremal functionlinear functional. |
| spellingShingle | Galina Y. Ryabykh Vladimir G. Ryabykh BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM Вестник Донского государственного технического университета hardy space bergmann space extremal function linear functional. |
| title | BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM |
| title_full | BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM |
| title_fullStr | BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM |
| title_full_unstemmed | BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM |
| title_short | BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM |
| title_sort | bergmann and hardy spaces and conjugate of them |
| topic | hardy space bergmann space extremal function linear functional. |
| url | https://vestnik.donstu.ru/jour/article/view/455 |
| work_keys_str_mv | AT galinayryabykh bergmannandhardyspacesandconjugateofthem AT vladimirgryabykh bergmannandhardyspacesandconjugateofthem |