It is shown that the Muckenhoupt structure constants for f and f* on the real line are the same.
@article{bwmeta1.element.bwnjournal-article-smv101i2p155bwm, author = {B. Bojarski and C. Sbordone and I. Wik}, title = {The Muckenhoupt class A1(R)}, journal = {Studia Mathematica}, volume = {103}, year = {1992}, pages = {155-163}, zbl = {0808.42010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i2p155bwm} }
Bojarski, B.; Sbordone, C.; Wik, I. The Muckenhoupt class A₁(R). Studia Mathematica, Tome 103 (1992) pp. 155-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i2p155bwm/
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