Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913733769428992 |
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| author | Gebrehana, Tseganesh Getachew Geleta, Hunduma Legesse |
| author_facet | Gebrehana, Tseganesh Getachew Geleta, Hunduma Legesse |
| contents | In this paper, we study composition operators on Hilbert space of complex-valued harmonic functions. In particular, we explore isometries, the type of self-map that generate bounded composition operator, and characterize the boundedness of composition operator in terms of Poisson integral. Furthermore, we establish the relation between reproducing kernels and composition operators on Hilbert space of complex-valued harmonic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions Gebrehana, Tseganesh Getachew Geleta, Hunduma Legesse Functional Analysis In this paper, we study composition operators on Hilbert space of complex-valued harmonic functions. In particular, we explore isometries, the type of self-map that generate bounded composition operator, and characterize the boundedness of composition operator in terms of Poisson integral. Furthermore, we establish the relation between reproducing kernels and composition operators on Hilbert space of complex-valued harmonic functions. |
| title | Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.10162 |