Mateusz Kwaśnicki

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20232026

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math.CA2025

On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms

Maciej Kucharski, Mateusz Kwaśnicki, Błażej Wróbel

Fix a positive integer $k$ . Let $R_{k}$ be a higher order Riesz transform of order $k$ on $R^{d}$ and let $R_{k}^{t},$ $t > 0,$ be the corresponding truncated Riesz transform. We st…

math.AP2025

Poisson kernels on the half-plane are bell-shaped

Mateusz Kwaśnicki

Consider a second-order elliptic operator $L$ in the half-plane $R \times (0, \infty)$ with coefficients depending only on the second coordinate. The Poisson kernel for $L$ …