The dyadic Riesz vector I
Abstract
We derive a dyadic model operator for the Riesz vector. We show linear lower Lp bounds for 1 < p < ∞ between this model operator and the Riesz vector, when applied to functions with values in Banach spaces. By a lower bound we mean that the boundedness of the Riesz vector implies the boundedness of the dydic Riesz vector.
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