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On noncommutative weak Orlicz–Hardy spaces

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Abstract

We introduce noncommutative weak Orlicz spaces associated with a weight and study their properties. We also define noncommutative weak Orlicz–Hardy spaces and characterize their dual spaces.

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Acknowledgements

We thank the reviewer for useful comments. T. B. Bekjan and M. Raikhan are partially supported by project AP09259802 of the Science Committee of Ministry of Education and Science of the Republic of Kazakhstan.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 010008, Nur-Sultan, Kazakhstan

    Turdebek N. Bekjan

  2. Astana IT University, 010000, Nur-Sultan, Kazakhstan

    Madi Raikhan

Authors
  1. Turdebek N. Bekjan
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  2. Madi Raikhan
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Correspondence to Turdebek N. Bekjan.

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Communicated by Yong Jiao.

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Bekjan, T.N., Raikhan, M. On noncommutative weak Orlicz–Hardy spaces. Ann. Funct. Anal. 13, 7 (2022). https://doi.org/10.1007/s43034-021-00150-9

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  • DOI: https://doi.org/10.1007/s43034-021-00150-9

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