Composition operators between hardy spaces on linearly convex domains in C2

Composition operators between hardy spaces on linearly convex domains in C2

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....

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Main Authors: Ha, Ly Kim, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Science::Mathematics
Hardy Space
Composition Operator
Online Access:https://hdl.handle.net/10356/143445
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-143445
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spelling sg-ntu-dr.10356-1434452023-02-28T19:47:55Z Composition operators between hardy spaces on linearly convex domains in C2 Ha, Ly Kim Khoi, Le Hai School of Physical and Mathematical Sciences Science::Mathematics Hardy Space Composition Operator 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. Nanyang Technological University Accepted version This article was carried out during the first-named author’s stay at Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, as a postdoc fellow under the MOE’s AcRF Tier 1 M4011724.110 (RG128/16). He thanks the institution for hospitality and support. The authors would like to thank the referees for useful remarks and comments that led to the improvement of the paper. 2020-09-02T01:41:16Z 2020-09-02T01:41:16Z 2019 Journal Article 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 1661-8254 https://hdl.handle.net/10356/143445 10.1007/s11785-019-00926-x 2-s2.0-85064926877 6 13 2589 2603 en Complex Analysis and Operator Theory © 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. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Hardy Space
Composition Operator
spellingShingle Science::Mathematics
Hardy Space
Composition Operator
Ha, Ly Kim
Khoi, Le Hai
Composition operators between hardy spaces on linearly convex domains in C2
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ha, Ly Kim
Khoi, Le Hai
format Article
author Ha, Ly Kim
Khoi, Le Hai
author_sort Ha, Ly Kim
title Composition operators between hardy spaces on linearly convex domains in C2
title_short Composition operators between hardy spaces on linearly convex domains in C2
title_full Composition operators between hardy spaces on linearly convex domains in C2
title_fullStr Composition operators between hardy spaces on linearly convex domains in C2
title_full_unstemmed Composition operators between hardy spaces on linearly convex domains in C2
title_sort composition operators between hardy spaces on linearly convex domains in c2
publishDate 2020
url https://hdl.handle.net/10356/143445
_version_ 1759855351958601728

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