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PreprintCC BY-NC-SA 4.0arXiv

Hausdorff Matrices on the BMOA and Bloch spaces

Abstract

We determine the spectrum and Fredholm essential spectrum of Hausdorff operators ℋμ on BMOA and the Bloch space ℬ, for suitable finite positive Borel measures μ on (0,1].

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BibTeX
@misc{galanopoulos2026hausdorff,
  title = {{Hausdorff Matrices on the BMOA and Bloch spaces}},
  author = {Petros Galanopoulos and Alejandro Mahillo and Jesus Oliva-Maza and Aristomenis G. Siskakis},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22554},
  eprint = {2610.22554},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22554},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Hausdorff Matrices on the BMOA and Bloch spaces
AU  - Petros Galanopoulos
AU  - Alejandro Mahillo
AU  - Jesus Oliva-Maza
AU  - Aristomenis G. Siskakis
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22554
UR  - https://arxiv.org/abs/2610.22554
AB  - We determine the spectrum and Fredholm essential spectrum of Hausdorff operators ℋ_μ on BMOA and the Bloch space ℬ, for suitable finite positive Borel measures μ on (0,1].
ER  -