Dual H-Toeplitz operators on the harmonic Bergman space
UDC 517.9 We mainly generalize the operators $K$ and $K^{*}$ on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators.
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| Datum: | 2026 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9237 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513452831801344 |
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| author | Li, Ran Sun, Minghao Bing, Di Li, Ran Sun, Minghao Bing, Di |
| author_facet | Li, Ran Sun, Minghao Bing, Di Li, Ran Sun, Minghao Bing, Di |
| author_sort | Li, Ran |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:35:45Z |
| description | UDC 517.9
We mainly generalize the operators $K$ and $K^{*}$ on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators. |
| doi_str_mv | 10.3842/umzh.v77i11.9237 |
| first_indexed | 2026-03-24T03:44:55Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9237 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:44:55Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-92372026-03-21T13:35:45Z Dual H-Toeplitz operators on the harmonic Bergman space Dual H-Toeplitz operators on the harmonic Bergman space Li, Ran Sun, Minghao Bing, Di Li, Ran Sun, Minghao Bing, Di harmonic Bergman space; dual H-Toeplitz operators; compactness 47B35, 47B38 UDC 517.9 We mainly generalize the operators $K$ and $K^{*}$ on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators. УДК 517.9 Подвійні H-тепліцеві оператори на гармонічному просторі Бергмана Оператори $K$ і $K^{*}$ на просторі Бергмана узагальнено до ортогонального доповнення гармонічного простору Бергмана для того, щоб визначити подвійні H-тепліцеві оператори на гармонічному просторі Бергмана. Крім того, досліджено комутативність і компактність цих операторів. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9237 10.3842/umzh.v77i11.9237 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 11 (2025); 698 Український математичний журнал; Том 77 № 11 (2025); 698 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9237/10603 Copyright (c) 2025 Ran Li, Minghao Sun, Di Bing |
| spellingShingle | Li, Ran Sun, Minghao Bing, Di Li, Ran Sun, Minghao Bing, Di Dual H-Toeplitz operators on the harmonic Bergman space |
| title | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_alt | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_full | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_fullStr | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_full_unstemmed | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_short | Dual H-Toeplitz operators on the harmonic Bergman space |
| title_sort | dual h-toeplitz operators on the harmonic bergman space |
| topic_facet | harmonic Bergman space dual H-Toeplitz operators compactness 47B35 47B38 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9237 |
| work_keys_str_mv | AT liran dualhtoeplitzoperatorsontheharmonicbergmanspace AT sunminghao dualhtoeplitzoperatorsontheharmonicbergmanspace AT bingdi dualhtoeplitzoperatorsontheharmonicbergmanspace AT liran dualhtoeplitzoperatorsontheharmonicbergmanspace AT sunminghao dualhtoeplitzoperatorsontheharmonicbergmanspace AT bingdi dualhtoeplitzoperatorsontheharmonicbergmanspace |