3 papers
math.AP2022
Removable singularities for solutions of the fractional Heat Equation in time varying domains
Joan Mateu, Laura Prat
In this paper we study removable singularities for solutions of the fractional heat equation in time varying domains. We introduce associated capacities and we study some of its me…
math.CA2020
Removable singularities for Lipschitz caloric functions in time varying domains
Joan Mateu, Laura Prat, Xavier Tolsa
In this paper we study removable singularities for regular -Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric…
math.CA2019
-bounded singular integrals on a purely unrectifiable set in
Joan Mateu, Laura Prat
We construct an example of a purely unrectifiable measure in for which the singular integrals associated to the kernels $\displaystyle{K(x)=\frac{P_{2k+1}(x)}{|x…