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PreprintarXiv licencearXiv

A dual approach to Lp estimates for orthogonal martingales satisfying the differential subordination

Abstract

We develop a new dual approach, which can be used to establish sharp Lp bounds for orthogonal differentially subordinate martingales. The method rests on the construction of a certain special function enjoying appropriate majorization properties and a novel differential condition.

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BibTeX
@misc{banuelos2026dual,
  title = {{A dual approach to $L^p$ estimates for orthogonal martingales satisfying the differential subordination}},
  author = {Rodrigo Bañuelos and Adam Osękowski},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00932},
  eprint = {2611.00932},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00932},
}
RIS
TY  - UNPB
TI  - A dual approach to L^p estimates for orthogonal martingales satisfying the differential subordination
AU  - Rodrigo Bañuelos
AU  - Adam Osękowski
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00932
UR  - https://arxiv.org/abs/2611.00932
AB  - We develop a new dual approach, which can be used to establish sharp L^p bounds for orthogonal differentially subordinate martingales. The method rests on the construction of a certain special function enjoying appropriate majorization properties and a novel differential condition.
ER  -