7 papers · 1 filter
A sufficient condition for mobile sampling in terms of surface density
Benjamin Jaye, Mishko Mitkovski
We provide a sufficient condition for sets of mobile sampling in terms of the surface density of the set.
The Huovinen transform and rectifiability of measures
Benjamin Jaye, Tomás Merchán
For a set of positive and finite length, we prove that if the Huovinen transform (the convolution operator with kernel for an odd number ) associated to …
A proof of Carleson's -conjecture
Benjamin Jaye, Xavier Tolsa, Michele Villa
In this paper we provide a proof of the Carleson -conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of…
On the problem of existence in principal value of a Calderón-Zygmund operator on a space of non-homogeneous type
Benjamin Jaye, Tomás Merchán
In this paper we study the relationship between two fundamental regularity properties of an -dimensional Calderón-Zygmund operator (CZO) acting on a Borel measure in $\mathb…
Small local action of singular integrals on spaces of non-homogeneous type
Benjamin Jaye, Tomás Merchán
Fix and . In this paper we introduce a notion called small local action associated to a singular integral operator, which is a necessary condition for the exi…
Quantitative uniqueness properties for functions with fast decaying, or sparsely supported, Fourier transform
Benjamin Jaye, Mishko Mitkovski
This paper builds upon two key principles behind the Bourgain-Dyatlov quantitative uniqueness theorem for functions with Fourier transform supported in an Ahlfors regular set. We f…