Abstract
As Fefferman and Stein showed, there is a tight connection between Carleson measures and BMO functions. In this work we extend this type of results to the more general scope of the BMOϕ(ω) spaces. As a byproduct a weighted version of the Triebel-Lizorkin space \(\dot{F}^0_{\infty, 2}\) is introduced, which turns out to be isomorphic to BMO(ω) as in the unweighted case.
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Harboure, E., Salinas, O. & Viviani, B. A Look at BMOϕ(ω) through Carleson Measures. J Fourier Anal Appl 13, 267–284 (2007). https://doi.org/10.1007/s00041-005-5044-3
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DOI: https://doi.org/10.1007/s00041-005-5044-3