The Maximum Locus of the Bloch Norm
For a Bloch function f in the unit ball in ℂn, we study the maximal locus of the Bloch norm of f; namely, the set Lf where the Bergman length of the gradient vector field of f attains its maximum. We prove that for n ≥, the set Lf consists of a finite union of real analytic sets with dimensions at m...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-05-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
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| Online Access: | https://doi.org/10.2478/mjpaa-2023-0019 |