Wei Chen

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math.CA2018

Two Weight Inequalities for Positive Operators: Doubling Cubes

Wei Chen, Michael T. Lacey

For the maximal operator $M$ on $R^{d}$ , and $1 < p, ρ < \infty$ , there is a finite constant $D = D_{p, ρ}$ so that this holds. For all weights $w, σ$ on $ \mathbb…

math.CA2018

Weighted Estimates for One Sided Martingale Transforms

Wei Chen, Rui Han, Michael T. Lacey

Let $T f = \sum_{I} ε_{I} ⟨ f, h_{I^{+}} ⟩ h_{I^{-}}$ . Here, $∣ ε_{I} ∣ = 1$ , and $h_{J}$ is the Haar function defined on dyadic interval $J$ . We sh…