Characterizations of local $A_{\infty}$ weights and applications to local singular integrals

Authors

  • Federico Campos IMAL (UNL-CONICET); FIQ (UNL), Colectora Ruta Nac. 168, Paraje El Pozo, 3000 Santa Fe, Argentina
  • Oscar Salinas IMAL (UNL-CONICET); FIQ (UNL), Colectora Ruta Nac. 168, Paraje El Pozo, 3000 Santa Fe, Argentina
  • Beatriz Viviani IMAL (UNL-CONICET); FIQ (UNL), Colectora Ruta Nac. 168, Paraje El Pozo, 3000 Santa Fe, Argentina

DOI:

https://doi.org/10.33044/revuma.4355

Abstract

In a general geometric setting, we prove different characterizations of a local version of Muckenhoupt $A_{\infty}$ weights. As an application, we obtain conclusions about the relationship between this class and the one-weight boundedness of local singular integrals from $L^{\infty}$ to BMO.

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References

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Photo of Eleonor Harboure, courtesy of Marcela Porta

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Published

2023-09-21

Issue

Vol. 66 No. 1 (2023): Special volume in honour of Eleonor Harboure (1948–2022)

Section

Article

License

Copyright (c) 2023 Federico Campos, Oscar Salinas, Beatriz Viviani

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