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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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A question of the weights $A_\infty$' equvalent condition in Real &Harmonic analysis

I have a question. The question is to prove: The weight $w \in A_\infty $if and only if $\frac{1}{|Q|}\int_Q w(x)dx \cdot \exp\left(\frac{1}{|Q|}\int_Q \log\frac{1}{w(x)}dx\right)\leq C$, for all cub …
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