Geodesic
Relation between the Gurov–Reshetnyak and the Muckenhoupt function classes
Sbornik. Mathematics, Tome 194 (2003) no. 6, pp. 919-926 
A. A. Korenovskii. Relation between the Gurov–Reshetnyak and the Muckenhoupt function classes. Sbornik. Mathematics, Tome 194 (2003) no. 6, pp. 919-926. http://geodesic.mathdoc.fr/item/SM_2003_194_6_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the one-dimensional case, for a function satisfying the Gurov–Reshetnyak condition, the infimum of the indices of the Muckenhoupt classes containing this function is found. It is also shown that each Muckenhoupt class lies in some Gurov–Reshetnyak class.

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