English

Estimates of transition densities and their derivatives for jump L\'evy processes

Probability 2015-06-03 v3 Functional Analysis

Abstract

We give upper and lower estimates of densities of convolution semigroups of probability measures under explicit assumptions on the corresponding Levy measure and the Levy--Khinchin exponent. We obtain also estimates of derivatives of densities.

Keywords

Cite

@article{arxiv.1307.1302,
  title  = {Estimates of transition densities and their derivatives for jump L\'evy processes},
  author = {Kamil Kaleta and Paweł Sztonyk},
  journal= {arXiv preprint arXiv:1307.1302},
  year   = {2015}
}

Comments

to appear in Journal of Mathematical Analysis and Applications