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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Bibliographic Details
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
Description
Summary: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.

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