A note on generalized Fujii-Wilson conditions and BMO spaces

In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A ∞ , A ∞ weak and C p , in terms of BMO type spaces suited to them. We will provide as well some self improvement properties for some of t...

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Bibliographic Details
Published in:Israel journal of mathematics Vol. 238; no. 2; pp. 571 - 591
Main Authors: Ombrosi, Sheldy, Pérez, Carlos, Rela, Ezequiel, Rivera-Ríos, Israel P.
Format: Journal Article
Language:English
Published: Jerusalem The Hebrew University Magnes Press 01-07-2020
Springer Nature B.V
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Summary:In this note we generalize the definition of the Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as A ∞ , A ∞ weak and C p , 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.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-020-2031-y