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Generalized tri-circular projections on some vector-valued spaces of analytic functions

  • Hemant Kumar
  • Himanshu Kumar
  • Abdullah Bin Abu Baker
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Abstract

In this paper, we characterize generalized tri-circular projections on the following three vector-valued spaces of analytic functions on the open unit disk 𝔻: the Hardy space Hp(𝒦) for a complex separable Hilbert space 𝒦 and 1 ≀ p < ∞,p β‰  2; the space H∞(E) of E-valued bounded analytic functions for a Banach space E with trivial multiplier algebra; and the little Bloch spaces ℬ0(𝔻, E) and β„¬βˆ—(𝔻, E), for E smooth, strictly convex, and reflexive.

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Cite

BibTeXRIS
BibTeX
@misc{kumar2026generalized,
  title = {{Generalized tri-circular projections on some vector-valued spaces of analytic functions}},
  author = {Hemant Kumar and Himanshu Kumar and Abdullah Bin Abu Baker},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10718},
  eprint = {2609.10718},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10718},
}
RIS
TY  - UNPB
TI  - Generalized tri-circular projections on some vector-valued spaces of analytic functions
AU  - Hemant Kumar
AU  - Himanshu Kumar
AU  - Abdullah Bin Abu Baker
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10718
UR  - https://arxiv.org/abs/2609.10718
AB  - In this paper, we characterize generalized tri-circular projections on the following three vector-valued spaces of analytic functions on the open unit disk 𝔻: the Hardy space H^p(𝒦) for a complex separable Hilbert space 𝒦 and 1 ≀ p < ∞,p β‰  2; the space H^∞(E) of E-valued bounded analytic functions for a Banach space E with trivial multiplier algebra; and the little Bloch spaces ℬ_0(𝔻, E) and ℬ_βˆ—(𝔻, E), for E smooth, strictly convex, and reflexive.
ER  -