Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We prove the intrinsic ultracontractivity for semigroups generated by a large class of symmetric Lévy processes killed on exiting a bounded and connected Lipschitz set under some conditions about the behavior of the Lévy measure in the neighborhood of the origin.
Czasopismo
Rocznik
Tom
Strony
91--106
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
Bibliografia
- [1] R. Bañuelos, Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators, J. Funct. Anal. 100 (1991), pp. 181-206.
- [2] Z.-Q. Chen and R. Song, Intrinsic ultracontractivity and conditional gauge for symmetric stable processes, J. Funct. Anal. 150 (1997), pp. 204-239.
- [3] K.Chung and Z. Zhao, From Brownian Motion to Schrödinger’s Equation, Springer, New York 1995.
- [4] E. B. Davies and B. Simon, Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), pp. 335-395.
- [5] N. Ikeda and S. Watanabe, On some relations between the harmonic measure and the Lévy measure for certain class of Markov processes, J. Math. Kyoto Univ. 2 (1962), pp. 79-95.
- [6] P. Kim and R. Song, Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains, preprint.
- [7] T. Kulczycki, Intrinsic ultracontractivity for symmetric stable processes, Bull. Polish Acad. Sci. Math. 46 (1998), pp. 325-334.
- [8] K. Sato, Lévy Processes and Infinitely Divisible Distributions, Cambridge University Press, Cambridge 1999.
- [9] H. H. Schaefer, Banach Lattices and Positive Operators, Springer, New York 1974. Wrocław University of Technology
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-573e941a-3562-4a34-b6fc-a5ada84d6c51