Laura Prat

collaborators

3 papers

math.AP2026

$L^{2}$ -boundedness of the $n$ -th CalderÃ³n commutator on Lipschitz graphs

Joan HernÃ¡ndez, Joan Mateu, Laura Prat

This paper investigates the asymptotic behavior of the norm, as a bounded operator in $L^{2} (R)$ , of the $n$ -th CalderÃ³n commutator $T_{A, n}$ on the graph of a Lipschitz fu…

math.AP2025

On the semi-additivity of the $1/2$ -symmetric caloric capacity

Joan HernÃ¡ndez, Joan Mateu, Laura Prat

In this paper we study properties of a variant of the $1/2$ -caloric capacity, called $1/2$ -symmetric caloric capacity. The latter is associated simultaneously with the $1/2$ -fracti…

math.AP2025

On fractional parabolic $BMO$ and $Lip_{I^} \pm$ caloric capacities

Joan HernÃ¡ndez, Joan Mateu, Laura Prat

In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic $BMO$ or $Lip_{I^} \pm$ normalization condit…

L2-boundedness of the n-th CalderÃ³n commutator on Lipschitz graphs

On the semi-additivity of the 1/2-symmetric caloric capacity

On fractional parabolic BMO and LipI^​± caloric capacities

$L^{2}$ -boundedness of the $n$ -th CalderÃ³n commutator on Lipschitz graphs

On the semi-additivity of the $1/2$ -symmetric caloric capacity

On fractional parabolic $BMO$ and $Lip_{I^} \pm$ caloric capacities