A. Morris

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L^{p}

-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets

9 citations · 9 across the 1 of their papers we have counts for

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math.CA2020

Unboundedness of potential dependent Riesz transforms for totally irregular measures

Julian Bailey, Andrew J. Morris, Maria Carmen Reguera

We prove that, for totally irregular measures $μ$ on $R^{d}$ with $d \geq 3$ , the $(d - 1)$ -dimensional Riesz transform $$ T_{A,μ}^{V}f(x) = \int_{\mathbb{R}^d} \nabla_{1}\mat…

math.CA2013

Calderon Reproducing Formulas and Applications to Hardy Spaces

Pascal Auscher, Alan McIntosh, Andrew Morris

We establish new Calderón reproducing formulas for self-adjoint operators $D$ that generate strongly continuous groups with finite propagation speed. These formulas allow the analy…