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PreprintCC BY 4.0arXiv

Generalization of Toeplitz + Hankel operators in the polydisc

  • Kritika Babbar
  • Mo Javed
  • Amit Maji
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Abstract

In this paper, we obtain a complete classification of Toeplitz + Hankel operators on the vector-valued Hardy space H2β„°(𝔻n) over the polydisc 𝔻n in β„‚n for nβ‰₯ 1. We also characterize the paired operators on L2(𝕋n). Furthermore, we give a complete characterization for the class of essentially Toeplitz + essentially Hankel operators on the vector-valued Hardy space H2β„°(𝔻) for finite-dimensional Hilbert space β„°.

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Cite

BibTeXRIS
BibTeX
@misc{babbar2026generalization,
  title = {{Generalization of Toeplitz + Hankel operators in the polydisc}},
  author = {Kritika Babbar and Mo Javed and Amit Maji},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.23747},
  eprint = {2606.23747},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.23747},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalization of Toeplitz + Hankel operators in the polydisc
AU  - Kritika Babbar
AU  - Mo Javed
AU  - Amit Maji
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2606.23747
UR  - https://arxiv.org/abs/2606.23747
AB  - In this paper, we obtain a complete classification of Toeplitz + Hankel operators on the vector-valued Hardy space H^2_β„°(𝔻^n) over the polydisc 𝔻^n in β„‚^n for nβ‰₯ 1. We also characterize the paired operators on L^2(𝕋^n). Furthermore, we give a complete characterization for the class of essentially Toeplitz + essentially Hankel operators on the vector-valued Hardy space H^2_β„°(𝔻) for finite-dimensional Hilbert space β„°.
ER  -