An Ehrling-type inequality for the closed injective hull of Bloch ideals
Abstract The concept of injective hull of ideals of normalized Bloch mappings is introduced and a characterization is established in terms of a domination property. The injective hulls of normalized Bloch ideals generated by the procedures of composition and duality are described and applied to conc...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03246-7 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841544221031399424 |
|---|---|
| author | A. Jiménez-Vargas María Isabel Ramírez |
| author_facet | A. Jiménez-Vargas María Isabel Ramírez |
| author_sort | A. Jiménez-Vargas |
| collection | DOAJ |
| description | Abstract The concept of injective hull of ideals of normalized Bloch mappings is introduced and a characterization is established in terms of a domination property. The injective hulls of normalized Bloch ideals generated by the procedures of composition and duality are described and applied to concrete examples of normalized Bloch ideals. A Bloch variant of a known characterization due to Jarchow and Pelczyński for the closed injective hull of an operator ideal is stated in terms of an Ehrling-type inequality. |
| format | Article |
| id | doaj-art-eac50990a52e44fea609ef8a4ebcf343 |
| institution | Kabale University |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-eac50990a52e44fea609ef8a4ebcf3432025-01-12T12:44:13ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-01-012025111810.1186/s13660-024-03246-7An Ehrling-type inequality for the closed injective hull of Bloch idealsA. Jiménez-Vargas0María Isabel Ramírez1Departamento de Matemáticas, Universidad de AlmeríaDepartamento de Matemáticas, Universidad de AlmeríaAbstract The concept of injective hull of ideals of normalized Bloch mappings is introduced and a characterization is established in terms of a domination property. The injective hulls of normalized Bloch ideals generated by the procedures of composition and duality are described and applied to concrete examples of normalized Bloch ideals. A Bloch variant of a known characterization due to Jarchow and Pelczyński for the closed injective hull of an operator ideal is stated in terms of an Ehrling-type inequality.https://doi.org/10.1186/s13660-024-03246-7Bloch mappingInjective hullDomination theoremOperator idealEhrling inequality |
| spellingShingle | A. Jiménez-Vargas María Isabel Ramírez An Ehrling-type inequality for the closed injective hull of Bloch ideals Journal of Inequalities and Applications Bloch mapping Injective hull Domination theorem Operator ideal Ehrling inequality |
| title | An Ehrling-type inequality for the closed injective hull of Bloch ideals |
| title_full | An Ehrling-type inequality for the closed injective hull of Bloch ideals |
| title_fullStr | An Ehrling-type inequality for the closed injective hull of Bloch ideals |
| title_full_unstemmed | An Ehrling-type inequality for the closed injective hull of Bloch ideals |
| title_short | An Ehrling-type inequality for the closed injective hull of Bloch ideals |
| title_sort | ehrling type inequality for the closed injective hull of bloch ideals |
| topic | Bloch mapping Injective hull Domination theorem Operator ideal Ehrling inequality |
| url | https://doi.org/10.1186/s13660-024-03246-7 |
| work_keys_str_mv | AT ajimenezvargas anehrlingtypeinequalityfortheclosedinjectivehullofblochideals AT mariaisabelramirez anehrlingtypeinequalityfortheclosedinjectivehullofblochideals AT ajimenezvargas ehrlingtypeinequalityfortheclosedinjectivehullofblochideals AT mariaisabelramirez ehrlingtypeinequalityfortheclosedinjectivehullofblochideals |