A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866912004131782656 |
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| author | Chen, Cheng Hong, Guixiang Wang, Wenhua |
| author_facet | Chen, Cheng Hong, Guixiang Wang, Wenhua |
| contents | In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) spaces. This provides a very satisfactory non-commutative analogue of the beautiful result due to Fabes, Johnson and Neri [Indiana Univ. Math. J. {\bf25} (1976) 159-170; MR0394172]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_11752 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions Chen, Cheng Hong, Guixiang Wang, Wenhua Classical Analysis and ODEs Functional Analysis Primary 46L52, Secondary 42B30, 42B35, 42C40 In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) spaces. This provides a very satisfactory non-commutative analogue of the beautiful result due to Fabes, Johnson and Neri [Indiana Univ. Math. J. {\bf25} (1976) 159-170; MR0394172]. |
| title | A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions |
| topic | Classical Analysis and ODEs Functional Analysis Primary 46L52, Secondary 42B30, 42B35, 42C40 |
| url | https://arxiv.org/abs/2309.11752 |