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PreprintCC BY 4.0arXiv

Convexity of the Berezin range of composition operators induced by automorphisms of the Unit Ball in ℂn

  • Timothy G. Clos
  • Trevor C. Pentzien
  • Tomas Miguel Rodriguez
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Abstract

We study the convexity of the Bergman space Berezin range of composition operators induced by unit disk and unit ball automorphisms. We obtain several new results characterizing convexity of the Berezin range for linear fractional unit disk and unit ball automorphisms composed with unitary maps.

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Cite

BibTeXRIS
BibTeX
@misc{clos2026convexity,
  title = {{Convexity of the Berezin range of composition operators induced by automorphisms of the Unit Ball in $\mathbbC^n$}},
  author = {Timothy G. Clos and Trevor C. Pentzien and Tomas Miguel Rodriguez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10361},
  eprint = {2609.10361},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10361},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Convexity of the Berezin range of composition operators induced by automorphisms of the Unit Ball in ℂ^n
AU  - Timothy G. Clos
AU  - Trevor C. Pentzien
AU  - Tomas Miguel Rodriguez
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10361
UR  - https://arxiv.org/abs/2609.10361
AB  - We study the convexity of the Bergman space Berezin range of composition operators induced by unit disk and unit ball automorphisms. We obtain several new results characterizing convexity of the Berezin range for linear fractional unit disk and unit ball automorphisms composed with unitary maps.
ER  -