Solange Mukeshimana

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20232026

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math.CA2026

Sparse Bounds for Rough Fourier Integral Operators

Wellars Banzi, Froduald Minani, Solange Mukeshimana +1

We prove pointwise bounds for rough Fourier integral operators by the $L^{p}$ Hardy-Littlewood maximal function. We assume the Fourier integral operators have amplitudes in $L^\infty…

math.CA2025

Some More Sparse Bounds for Rough and Smooth Pseudodifferential Operators

Solange Mukeshimana, David Rule

Beltran \& Cladek~\cite{BC} use $L^{r}$ to $L^{s}$ bounds to prove sparse form bounds for pseudodifferential operators with Hörmander symbols in $S_{ρ, δ}^{m}$ up to, but not including, t…