Krzysztof Bogdan

activity

20102023

most citedParabolic martingales and non-symmetric Fourier multipliers

1 citations · 2 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.PR2023

Positive harmonically bounded solutions for semi-linear equations

Wolfhard Hansen, Krzysztof Bogdan

For open sets $U$ in some space $X$ , we are interested in positive solutions to semi-linear equations $Lu = φ (\cdot, u) μ$ on $U$ . Here $L$ may be an elliptic or parabolic operator of…

math.PR2016★ 1 cited

Yaglom limit for stable processes in cones

Krzysztof Bogdan, Zbigniew Palmowski, Longmin Wang

We give the asymptotics of the tail of the distribution of the first exit time of the isotropic $α$ -stable Lévy process from the Lipschitz cone in $R^{d}$ . We obtain the Yag…

math.PR2014

Martin kernel for fractional Laplacian in narrow cones

Krzysztof Bogdan, Bartłomiej Siudeja, Andrzej Stós

We give a power law for the homogeneity degree of the Martin kernel of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.