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https://hdl.handle.net/10356/143445| Title: | Composition operators between hardy spaces on linearly convex domains in C2 | Authors: | Ha, Ly Kim Khoi, Le Hai |
Keywords: | Science::Mathematics | Issue Date: | 2019 | Source: | Ha, L. K., & Khoi, L. H. (2019). Composition operators between hardy spaces on linearly convex domains in C2. Complex Analysis and Operator Theory, 13(6), 2589-2603. doi:10.1007/s11785-019-00926-x | Journal: | Complex Analysis and Operator Theory | Abstract: | We study composition operators acting between Hardy spaces Hp(Ω), where Ω⊂C2 is a smoothly bounded, C-linearly convex domain admitting the so-called F-type at all boundary points. This F-type domains contain certain convex domains of finite type and many cases of infinite type in the sense of Range. Criteria for boundedness and compactness of such composition operators are established. Our approach is based on the Cauchy–Leray kernel. | URI: | https://hdl.handle.net/10356/143445 | ISSN: | 1661-8254 | DOI: | 10.1007/s11785-019-00926-x | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2019 Springer. This is a post-peer-review, pre-copyedit version of an article published in Complex Analysis and Operator Theory. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11785-019-00926-x. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Composition Operators Between Hardy Spaces on Linearly Convex Domains in C 2.pdf | 366.98 kB | Adobe PDF |  View/Open |
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