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Thus, we see that a square function inequality much like that of (2.13) holds; this completes the proof of Rubio de Francia’s Theorem in the one- dimensional case, aside from the

In the proof of the disintegration theorem, we will need some facts about complex Radon measures and “Radon” measures on locally Hausdorff, lo- cally compact spaces that are a bit

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The construction of homogeneous statistical solutions in [VF1], [VF2] is based on Galerkin approximations of measures that are supported by divergence free periodic vector fields

Since all shift morphisms are bounded sliding block codes in the finite alphabet case, this implies that if K is any field, and if E and F are finite graphs with no sinks and

If we represent π by a diagram (of either type), erase the point corresponding to i and the arc connected to the point (and number other points appropriately for the circular

This shows that although each group A n is algebraically compact (it embeds as a pure subgroup of the compact group Π ∞ 1 (Z/2)), the structural maps are not continuous (in the sense

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