Integrated semigroups and their application to complete second order Cauchy problems.
Frank Neubrander (1989)
Semigroup forum
R. de Laubenfels (1990)
Semigroup forum
Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
José E. Galé, María M. Martínez, Pedro J. Miana (2011)
Studia Mathematica
We establish an inversion formula of Post-Widder type for -multiplied vector-valued Laplace transforms (α > 0). This result implies an inversion theorem for resolvents of generators of α-times integrated families (semigroups and cosine functions) which, in particular, provides a unified proof of previously known inversion formulae for α-times integrated semigroups.
Igor Kluvánek (1987)
Studia Mathematica
Franck Barthe, Patrick Cattiaux, Cyril Roberto (2006)
Revista Matemática Iberoamericana
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations with general F-Sobolev inequalities, thus extending Gross hypercontractivity theory. We provide criteria for these Sobolev type inequalities and for related properties. In particular, we implement in the context of probability measures the ideas of Maz'ja's capacity theory, and present equivalent forms relating the capacity of sets to their measure. Orlicz hypercontractivity efficiently describes the...
Jürgen Voigt (1984/1985)
Mathematische Zeitschrift
Marie-Thérèse Lacroix, Mohammed Marjani (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Hermann König (1978)
Mathematische Annalen
W. Arendt, F. Neubrander, U. Schlotterbeck (1992)
Semigroup forum
Ioana Cioranescu, Hernan R. Henriques (1994)
Aequationes mathematicae
Philippe Biane (1995)
Séminaire de probabilités de Strasbourg
Barthélemy, Louise (1996)
Abstract and Applied Analysis
Alexander Bendikov, Laurent Saloff-Coste (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Ryotaro Sato (1975)
Studia Mathematica
van Gaans, Onno, van Neerven, Jan (2006)
Electronic Communications in Probability [electronic only]
Klaus Thomsen (1985)
Studia Mathematica
Heydar Radjavi (1997)
Banach Center Publications
A. Kozek (1974)
Applicationes Mathematicae
Winkler, Gerhard (1984)
Proceedings of the 12th Winter School on Abstract Analysis