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The dyadic Riesz vector I (2309.02802v1)
Published 6 Sep 2023 in math.FA and math.PR
Abstract: We derive a dyadic model operator for the Riesz vector. We show linear lower $Lp$ bounds for $1 < p < \infty$ 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.