Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Języki publikacji
Abstrakty
We prove the intrinsic ultracontractivity for the semigroup P[...] generated by the symmetric [alpha]-stable process killed on exiting a bounded open set D. The same property is valid for the alpha-stable Feynman-Kac semigroup T[...] provided D is a gaugeable bounded Lipschitz domain.
Wydawca
Rocznik
Tom
Strony
325--334
Opis fizyczny
Bibliogr. 10 poz.,
Twórcy
autor
- Institute of Mathematics, Technical University of Wrocław, ul. Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
- [1] Е. B. Davies, B. Simon, Ultracontractivity and the Heat Kimel for Schrödinger Operators and Dirichlet Laplacians, J. Funct. Ana1., 59 (1984) 335-395.
- [2] R. F. Bass, K. Burdzy, Lifetimes of conditioned diffusions, Probab. Theory Relat. Fields, 91 (1992) 405-443.
- [3] R. Banuelos, Intrinsic Ultracontractivity ind Eigenfunction Estimtates for Schrödinger Operators, J. Funct. Anal., 100 (1991) 181-206.
- [4] K. Bogdan, Т. Byczkowski, Potential Theory for ог-sto.hle Schrödinger Operator on Bounded Lipschitz Domains, Studia Math., to be published.
- [5] Z.-Q. Chen, R. Song, Intrinsic ultracontractivity and г,ouditional gauge for symmetric stable processes, J. Funct. Ana1., 150 (1997) 204-239.
- [6] R. M. Blumenthal, R. K. Getoor, Markov Processes and The.ir Potential Theory, Pure Appl. Math., Academic Press Inc., Now York 1968.
- [7] Т. Kulczycki, Propertini of Green function of symmetric stable processes, MS. Thesis, Wrocław Technical University (1996) 1-65.
- [8] N. Ikeda, S. Watanаbe, On somе relatious between the harmonic, measure and the Lévy measure for a certain clss of Markov processes, J. Math. Kyoto Univ., 2 (1962) 79-95.
- [9] Т. Kulczycki, Properties of Green fuction of symmetric stable processes, Prob. Math. Statist., 17(2) (1997) 339-364.
- [10] К. Bogdan, The boundary Harnack principle for the fractional Laplacian, Studia Math., 123(1) (1997) 43-80.
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-0695