On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane
Abstract Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the upper half-plane. We characterize the boundedness and compactness of the operator betw...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1867-8 |
| _version_ | 1819071785601073152 |
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| author | Stevo Stević Ajay K. Sharma |
| author_facet | Stevo Stević Ajay K. Sharma |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | Abstract Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the upper half-plane. We characterize the boundedness and compactness of the operator between Hardy and α-Bloch spaces on the domain. |
| first_indexed | 2024-12-21T17:27:21Z |
| format | Article |
| id | doaj.art-a7b326a6729f45ebb48036a71446f7b8 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-21T17:27:21Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a7b326a6729f45ebb48036a71446f7b82022-12-21T18:56:01ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-10-012018111810.1186/s13660-018-1867-8On a product-type operator between Hardy and α-Bloch spaces of the upper half-planeStevo Stević0Ajay K. Sharma1Mathematical Institute of the Serbian Academy of SciencesDepartment of Mathematics, Central University of JammuAbstract Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the upper half-plane. We characterize the boundedness and compactness of the operator between Hardy and α-Bloch spaces on the domain.http://link.springer.com/article/10.1186/s13660-018-1867-8Product-type operatorHardy spaceBloch spaceBoundednessCompactnessUpper half-plane |
| spellingShingle | Stevo Stević Ajay K. Sharma On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane Journal of Inequalities and Applications Product-type operator Hardy space Bloch space Boundedness Compactness Upper half-plane |
| title | On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane |
| title_full | On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane |
| title_fullStr | On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane |
| title_full_unstemmed | On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane |
| title_short | On a product-type operator between Hardy and α-Bloch spaces of the upper half-plane |
| title_sort | on a product type operator between hardy and α bloch spaces of the upper half plane |
| topic | Product-type operator Hardy space Bloch space Boundedness Compactness Upper half-plane |
| url | http://link.springer.com/article/10.1186/s13660-018-1867-8 |
| work_keys_str_mv | AT stevostevic onaproducttypeoperatorbetweenhardyandablochspacesoftheupperhalfplane AT ajayksharma onaproducttypeoperatorbetweenhardyandablochspacesoftheupperhalfplane |