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arXiv · 2309.02802

The dyadic Riesz vector I

Komla Domelevo·Stefanie Petermichl
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Abstract

We derive a dyadic model operator for the Riesz vector. We show linear lower $L^p$ 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.

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Komla Domelevo, Stefanie Petermichl. 2023-09-06. The dyadic Riesz vector I. https://arxiv.org/abs/2309.02802

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