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PreprintCC BY-NC-ND 4.0arXiv

Algebraic properties of Toeplitz operators on annulus and multiply connected domains

  • Sayan Adhikari
  • Susmita Das
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Abstract

We study the Toeplitz operators on the Hardy space over the annulus and provide a complete characterization of them. Based on that, we single out a certain class of Toeplitz operators that satisfy the multiplicativity property and lead to a zero product theorem. We further extend the results for the general multiply-connected domain and prove the zero product theorem for Toeplitz operators on the Hardy space over such a domain.

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Cite

BibTeXRIS
BibTeX
@misc{adhikari2026algebraic,
  title = {{Algebraic properties of Toeplitz operators on annulus and multiply connected domains}},
  author = {Sayan Adhikari and Susmita Das},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01717},
  eprint = {2611.01717},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01717},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Algebraic properties of Toeplitz operators on annulus and multiply connected domains
AU  - Sayan Adhikari
AU  - Susmita Das
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01717
UR  - https://arxiv.org/abs/2611.01717
AB  - We study the Toeplitz operators on the Hardy space over the annulus and provide a complete characterization of them. Based on that, we single out a certain class of Toeplitz operators that satisfy the multiplicativity property and lead to a zero product theorem. We further extend the results for the general multiply-connected domain and prove the zero product theorem for Toeplitz operators on the Hardy space over such a domain.
ER  -