Characterizations of local \(A_{\infty}\) weights and applications to local singular integrals. (English) Zbl 1530.42024
The aim of the work is to obtain a version of N. Fujii’s results [Math. Japon. 22, 529–534 (1978; Zbl 0385.26010)] for the local Muckenhoupt \(A_{\infty}\) weights and the geometric setting due to E. Harboure et al. [J. Anal. Math. 138, No. 1, 301–324 (2019; Zbl 1423.42008)] and apply the new results to the study of the relationship between this class of weights and the boundedness of local singular integral operators from \(L^\infty\) to \(BMO\).
Reviewer: Boris Rubin (Baton Rouge)
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B25 | Maximal functions, Littlewood-Paley theory |
| 28C99 | Set functions and measures on spaces with additional structure |
References:
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