Rhaly operators on small weighted hardy spaces
We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership of such operators. A closedness of Rhaly operator is also s...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/137246 |
| _version_ | 1826130337808252928 |
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| author | Lin, Tan Pin Doan, Minh Luan Khoi, Le Hai |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Lin, Tan Pin Doan, Minh Luan Khoi, Le Hai |
| author_sort | Lin, Tan Pin |
| collection | NTU |
| description | We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership of such operators. A closedness of Rhaly operator is also studied. |
| first_indexed | 2024-10-01T07:54:49Z |
| format | Journal Article |
| id | ntu-10356/137246 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:54:49Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1372462023-02-28T19:26:49Z Rhaly operators on small weighted hardy spaces Lin, Tan Pin Doan, Minh Luan Khoi, Le Hai School of Physical and Mathematical Sciences Science::Mathematics Hilbert Spaces Entire Functions We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership of such operators. A closedness of Rhaly operator is also studied. MOE (Min. of Education, S’pore) Accepted version 2020-03-11T04:32:11Z 2020-03-11T04:32:11Z 2018 Journal Article Lin, T. P., Doan, M. L., & Khoi, L. H. (2018). Rhaly operators on small weighted hardy spaces. Acta Math Vietnam, 43, 749-759. doi:10.1007/s40306-018-0277-9 0251-4184 https://hdl.handle.net/10356/137246 10.1007/s40306-018-0277-9 2-s2.0-85053893495 4 43 749 759 en Acta Mathematica Vietnamica This is a post-peer-review, pre-copyedit version of an article published in Acta Mathematica Vietnamica. The final authenticated version is available online at: http://dx.doi.org/10.1007/s40306-018-0277-9 application/pdf |
| spellingShingle | Science::Mathematics Hilbert Spaces Entire Functions Lin, Tan Pin Doan, Minh Luan Khoi, Le Hai Rhaly operators on small weighted hardy spaces |
| title | Rhaly operators on small weighted hardy spaces |
| title_full | Rhaly operators on small weighted hardy spaces |
| title_fullStr | Rhaly operators on small weighted hardy spaces |
| title_full_unstemmed | Rhaly operators on small weighted hardy spaces |
| title_short | Rhaly operators on small weighted hardy spaces |
| title_sort | rhaly operators on small weighted hardy spaces |
| topic | Science::Mathematics Hilbert Spaces Entire Functions |
| url | https://hdl.handle.net/10356/137246 |
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