Benjamin W. Kosmala

collaborators

3 papers

math.AP2026

Singular solutions to parabolic equations in one space dimension

Pascal Auscher, Moritz Egert, Benjamin W. Kosmala

We construct singular weak solutions to scalar, linear, uniformly parabolic equations with complex coefficients in one space dimension. Our examples show that the space-time integr…

math.CA2026

$L^{p}$ bounds for parabolic Riesz transforms with rough coefficients: The case $1 < p \leq 2$

Khalid Baadi, Moritz Egert, Benjamin W. Kosmala

We establish the first results on $L^{p}$ bounds for Riesz transforms associated with non-autonomous second order parabolic differential operators in divergence form with bo…

math.FA2024

A Note on Complex Interpolation of Quasi-Banach Function Spaces

Moritz Egert, Benjamin W. Kosmala

Kalton and Mitrea characterized complex interpolation spaces of quasi-Banach function spaces as Calderón products if both interpolants are separable. We show that one separability…

Singular solutions to parabolic equations in one space dimension

Lp bounds for parabolic Riesz transforms with rough coefficients: The case 1<p≤2

A Note on Complex Interpolation of Quasi-Banach Function Spaces

$L^{p}$ bounds for parabolic Riesz transforms with rough coefficients: The case $1 < p \leq 2$