Laura Prat

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20192026

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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 $(1, 1/2)$ -Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric…

math.CA2019

$L^{2}$ -bounded singular integrals on a purely unrectifiable set in $R^{d}$

Joan Mateu, Laura Prat

We construct an example of a purely unrectifiable measure $μ$ in $R^{d}$ for which the singular integrals associated to the kernels $\displaystyle{K(x)=\frac{P_{2k+1}(x)}{|x…

Removable singularities for Lipschitz caloric functions in time varying domains

L2-bounded singular integrals on a purely unrectifiable set in Rd

$L^{2}$ -bounded singular integrals on a purely unrectifiable set in $R^{d}$