Korenovskyi, Anatolii O.Lerner, А. К.Stokolos, А. М.Кореновський, Анатолій ОлександровичКореновский, Анатолий Александрович2011-08-272011-08-272002A.A. Korenovskyy, A.K. Lerner, and A.M. Stokolos A note on the Gurov-Reshetnyak condition /Mathematical Research Letters. - 2002. - Volume 9, Issue 5. - pp. 579-583.https://dspace.onu.edu.ua/handle/123456789/1933A.A. Korenovskyy, A.K. Lerner, and A.M. Stokolos A note on the Gurov-Reshetnyak condition /Mathematical Research Letters. - 2002. - Volume 9, Issue 5. - pp. 579-583.An equivalence between the Gurov-Reshetnyak GR(ε) and Muckenhoupt A∞ conditionsises tablished. Our proof isextremely simple and worksfor arbitrary absolutely continuous measures.enGUROV-RESHETNYAK CONDITIONnonnegative function fArticle