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A note on generalized Fujii-Wilson conditions and BMO spaces

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Abstract

In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A∞, Aweak∞ and Cp, in terms of BMO type spaces suited to them. We will provide as well some self improvement properties for some of those generalized BMO spaces and some quantitative estimates for Bloom’s BMO type spaces.

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Authors and Affiliations

  1. Instituto de Matemática de Bahía Blanca (INMABB), Departamento de Matemática, Universidad Nacional del Sur (UNS) - CONICET, Av. Alem 1253, Bahía Blanca, Argentina

    Sheldy Ombrosi & Israel P. Rivera-Ríos

  2. Department of Mathematics, University of the Basque Country, IKERBASQUE (Basque Foundation for Science) and BCAM - Basque Center for Applied Mathematics, Bilbao, Spain

    Carlos Pérez

  3. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pabellón I, Buenos Aires Capital Federal, 1428, Argentina

    Ezequiel Rela

Authors
  1. Sheldy Ombrosi
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  2. Carlos Pérez
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  3. Ezequiel Rela
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  4. Israel P. Rivera-Ríos
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Corresponding author

Correspondence to Israel P. Rivera-Ríos.

Additional information

S. O. and I. P. R.-R. are supported by grants PIP (CONICET) 11220130100329CO and PICT 2018-02501.

This work was supported by the Spanish Ministry of Economy and Competitiveness, MTM2017-82160-C2-2-P and SEV-2017-0718.

E. R. is partially supported by grants UBACyT 20020170200057BA and PICT-2015-3675.

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Ombrosi, S., Pérez, C., Rela, E. et al. A note on generalized Fujii-Wilson conditions and BMO spaces. Isr. J. Math. 238, 571–591 (2020). https://doi.org/10.1007/s11856-020-2031-y

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  • DOI: https://doi.org/10.1007/s11856-020-2031-y

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