Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Karol Szczypkowski"'
Autor:
Karol Szczypkowski, Tomasz Grzywny
Publikováno v:
Forum Mathematicum. 33:1207-1236
We investigate densities of vaguely continuous convolution semigroups of probability measures on ℝ d {{\mathbb{R}^{d}}} . First, we provide results that give upper estimates in a situation when the corresponding jump measure is allowed to be highly
Publikováno v:
Journal of the London Mathematical Society. 104:1861-1900
We establish sharp two-sided bounds on the heat kernel of the fractional Laplacian, perturbed by a drift having critical-order singularity, by transferring it to appropriate weighted space with singular weight.
Improved presentation
Improved presentation
Autor:
Tomasz Grzywny, Karol Szczypkowski
Publikováno v:
Journal of Differential Equations. 267:6004-6064
Autor:
Karol Szczypkowski, Tomasz Grzywny
Publikováno v:
Bernoulli 26, no. 4 (2020), 3191-3223
We investigate densities of vaguely continuous convolution semigroups of probability measures on the Euclidean space. We expose that many typical conditions on the characteristic exponent repeatedly used in the literature of the subject are equivalen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c19554242ae1cb6058d478b3c5b8c826
https://projecteuclid.org/euclid.bj/1598493644
https://projecteuclid.org/euclid.bj/1598493644
Publikováno v:
Integral Equations and Operator Theory. 91
We characterize functions $$V\le 0$$ for which the heat kernel of the Schrodinger operator $$\Delta +V$$ is comparable with the Gauss–Weierstrass kernel uniformly in space and time. In dimension 4 and higher the condition turns out to be more restr
Publikováno v:
Journal of Evolution Equations. 16:241-260
Schr\"odinger perturbations of transition densities by singular potentials may fail to be comparable with the original transition density. For instance this is so for the transition density of a subordinator perturbed by any time-independent unbounde
Autor:
Karol Szczypkowski, Krzysztof Bogdan
Publikováno v:
Studia Mathematica. 221:151-173
We propose a new general method of estimating Schrodinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequalit
Autor:
Karol Szczypkowski, Tomasz Jakubowski
Publikováno v:
Journal of Mathematical Analysis and Applications. 389(1):452-460
We give upper and lower bounds of perturbation series for transition densities, corresponding to additive gradient perturbations satisfying certain space–time integrability conditions.
Autor:
Karol Szczypkowski, Tomasz Jakubowski
Publikováno v:
Journal of Evolution Equations
Journal of Evolution Equations, Springer Verlag, 2010, 10 (2), pp.319-339. ⟨10.1007/s00028-009-0051-5⟩
Journal of Evolution Equations, Springer Verlag, 2010, 10 (2), pp.319-339. ⟨10.1007/s00028-009-0051-5⟩
International audience; We construct a fundamental solution of the equation {\partial_t - \Delta^{\alpha/2} - b(\cdot, \cdot) \cdot\nabla_{x} = 0} for TeX{\alpha \in (1, 2)} and b satisfying a certain integral space-time condition. We also show it ha
Autor:
Karol Szczypkowski, Tomasz Grzywny
We prove that the definitions of the Kato class by the semigroup and by the resolvent of the L\'{e}vy process on $\mathbb{R}^d$ coincide if and only if 0 is not regular for {0}. If 0 is regular for {0} then we describe both classes in detail. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72a5f0d3dc1da34490dd444f9a9f773e
http://arxiv.org/abs/1503.05747
http://arxiv.org/abs/1503.05747