A note on the Gurov-Reshetnyak condition

A. A. Korenovskyy; A. K. Lerner; A. M. Stokolos

doi:10.4310/MRL.2002.v9.n5.a1

A note on the Gurov-Reshetnyak condition

A. A. Korenovskyy, A. K. Lerner, A. M. Stokolos

Mathematical Sciences

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Abstract

An equivalence between the Gurov-Reshetnyak GR(ε) and Mucken-houpt A_∞ conditions is established. Our proof is extremely simple and works for arbitrary absolutely continuous measures.

Original language	English
Pages (from-to)	579-583
Number of pages	5
Journal	Mathematical Research Letters
Volume	9
Issue number	5-6
DOIs	https://doi.org/10.4310/MRL.2002.v9.n5.a1
State	Published - Jan 1 2002

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General Mathematics

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title = "A note on the Gurov-Reshetnyak condition",

abstract = "An equivalence between the Gurov-Reshetnyak GR(ε) and Mucken-houpt A∞ conditions is established. Our proof is extremely simple and works for arbitrary absolutely continuous measures.",

author = "Korenovskyy, \{A. A.\} and Lerner, \{A. K.\} and Stokolos, \{A. M.\}",

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AU - Korenovskyy, A. A.

AU - Lerner, A. K.

AU - Stokolos, A. M.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - An equivalence between the Gurov-Reshetnyak GR(ε) and Mucken-houpt A∞ conditions is established. Our proof is extremely simple and works for arbitrary absolutely continuous measures.

AB - An equivalence between the Gurov-Reshetnyak GR(ε) and Mucken-houpt A∞ conditions is established. Our proof is extremely simple and works for arbitrary absolutely continuous measures.

UR - https://www.scopus.com/pages/publications/0036771413

U2 - 10.4310/MRL.2002.v9.n5.a1

DO - 10.4310/MRL.2002.v9.n5.a1

M3 - Article

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VL - 9

SP - 579

EP - 583

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5-6

ER -

A note on the Gurov-Reshetnyak condition

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