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Summation conditions on weights. (English) Zbl 0794.42011
The author introduces new summation conditions on weights, which are equivalent to the dyadic weight conditions $$A^ d_ \infty$$, $$A^ d_ p$$, and $$B^ d_ p$$. These conditions provide with new methods to study weighted norm inequalities for square functions. The author also studies summation conditions for weights in the context of product spaces.

##### MSC:
 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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