170 citations · 1.4k across the 61 of their papers we have counts for
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Dyadic harmonic analysis beyond doubling measures
Luis Daniel López-Sánchez, José María Martell, Javier Parcet
We characterize the Borel measures on for which the associated dyadic Hilbert transform, or its adjoint, is of weak-type and/or strong-type with re…
Uniform Rectifiability and Harmonic Measure III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains
Steve Hofmann, José María Martell, Svitlana Mayboroda
Let , , be a closed, Ahlfors-David regular set of dimension satisfying the "Riesz Transform bound" $$\sup_{\varepsilon>0}\int_E\left|\int_{\{…
A note on the off-diagonal Muckenhoupt-Wheeden conjecture
David Cruz-Uribe, José María Martell, Carlos Pérez
We obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given and a pair of weights , if the Hardy-Littlewood maxima…
Uniform rectifiability and harmonic measure II: Poisson kernels in imply uniform rectifiability
Steve Hofmann, José María Martell, Ignacio Uriarte-Tuero
We present the converse to a higher dimensional, scale-invariant version of a classical theorem of F. and M. Riesz. More precisely, for , for an ADR domain $Ω\subset \re^{…
Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in
Steve Hofmann, José María Martell
We present a higher dimensional, scale-invariant version of a classical theorem of F. and M. Riesz. More precisely, we establish scale invariant absolute continuity of harmonic mea…
Calderón-Zygmund operators associated to matrix-valued kernels
Guixiang Hong, Luis Daniel López-Sánchez, José María Martell +1
Calderón-Zygmund operators with noncommuting kernels may fail to be Lp-bounded for , even for kernels with good size and smoothness properties. Matrix-valued paraproducts…