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Mutual estimates for the dyadic reverse Hölder and Muckenhoupt constants for the dyadically doubling weights

Mutual estimates for the dyadic reverse Hölder and Muckenhoupt constants for the dyadically doubling weights

Muckenhoupt and Reverse H\"{o}lder classes of weights play an important role in harmonic analysis, PDE's and quasiconformal mappings. In 1974 Coifman and Fefferman showed that a weight belongs to a Muckenhoupt class $A_p$ for some $1<p<\infty$ if and only if it belongs to a Reverse H\"{o}lder class $RH_q$ for some …