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PreprintCC BY-NC-ND 4.0HAL

LITTLEWOOD SUBORDINATION FOR DE BRANGES-ROVNYAK SPACES

  • Emmanuel Fricain
  • Andreas Hartmann
  • William T Ross
  • Dan Timotin
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Abstract

In this paper, we study composition operators that act between different de Branges-Rovnyak spaces. Our main results are suggested by a paper of Mashreghi and Shabankhah concerning composition operators between model spaces. We also answer several related open questions posed by Dellepiane and Seco. To prove these results, we apply reproducing kernel Hilbert space methods, Sarason's approach to composition operators as integral operators, and Aleksandrov-Clark measures.

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Cite

BibTeXRIS
BibTeX
@misc{fricain2026littlewood,
  title = {{LITTLEWOOD SUBORDINATION FOR DE BRANGES-ROVNYAK SPACES}},
  author = {Emmanuel Fricain and Andreas Hartmann and William T Ross and Dan Timotin},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10115},
  eprint = {2609.10115},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05744263v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - LITTLEWOOD SUBORDINATION FOR DE BRANGES-ROVNYAK SPACES
AU  - Emmanuel Fricain
AU  - Andreas Hartmann
AU  - William T Ross
AU  - Dan Timotin
PY  - 2026
DA  - 2026/09/09
PB  - HAL
DO  - 10.48550/arxiv.2609.10115
UR  - https://hal.science/hal-05744263v1
AB  - In this paper, we study composition operators that act between different de Branges-Rovnyak spaces. Our main results are suggested by a paper of Mashreghi and Shabankhah concerning composition operators between model spaces. We also answer several related open questions posed by Dellepiane and Seco. To prove these results, we apply reproducing kernel Hilbert space methods, Sarason's approach to composition operators as integral operators, and Aleksandrov-Clark measures.
ER  -