Abstract
We show that weights in the Gurov-Reshetnyak class GRε(μ) satisfy a weak reverse Hölder inequality with an explicit and asymptotically sharp bound for the exponent, thus extending classical results from the Euclidean setting to doubling metric measure spaces. As an application, we study asymptotical behaviour of embeddings between Muckenhoupt classes and reverse Hölder classes.
Original language | English |
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Pages (from-to) | 6671-6687 |
Number of pages | 17 |
Journal | Transactions of the American Mathematical Society |
Volume | 364 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2012 |
MoE publication type | A1 Journal article-refereed |