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math.CA2018
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…
math.CA2018
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…
math.CA2018
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…