On the Skew Product of Symmetric Diffusion Processes.
M. Fukushima, Y. Oshima (1989)
Forum mathematicum
Urban Cegrell (1977)
Commentationes Mathematicae Universitatis Carolinae
Ewa Ligocka (1987)
Studia Mathematica
Karl-Theodor Sturm, Rainer Höhnle (1997)
Forum mathematicum
Kuo-Shung Cheng, Wei-Ming Ni (1991)
Mathematische Annalen
Benko, D., Damelin, S.B., Dragnev, P.D. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Zhiwei Wang (2016)
Annales Polonici Mathematici
This paper divides into two parts. Let (X,ω) be a compact Hermitian manifold. Firstly, if the Hermitian metric ω satisfies the assumption that for all k, we generalize the volume of the cohomology class in the Kähler setting to the Hermitian setting, and prove that the volume is always finite and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom. Secondly, we observe that if the anticanonical bundle is nef, then for any ε >...
Jesper Laub (1978)
Mathematica Scandinavica
Öztürk, Metin, Yalçin, Sibel (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Abdulhadi, Z., Muhanna, Y.Abu, Khuri, S. (2005)
Journal of Inequalities and Applications [electronic only]
Jones, Peter W., Smirnov, Stanislav K. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
W. Hansen, N. Nadirashvili (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
T. Walsh (1971)
Studia Mathematica
Alexander R. Pruss (1997)
Annales de l'I.H.P. Probabilités et statistiques
Francis Hirsch (1976/1977)
Séminaire Bourbaki
Francis Hirsch (1971/1972)
Séminaire Brelot-Choquet-Deny. Théorie du potentiel
Anders Olofsson (2004)
Studia Mathematica
An operator-valued multi-variable Poisson type integral is studied. In Section 2 we obtain a new equivalent condition for the existence of a so-called regular unitary dilation of an n-tuple T=(T₁,...,Tₙ) of commuting contractions. Our development in Section 2 also contains a new proof of the classical dilation result of S. Brehmer, B. Sz.-Nagy and I. Halperin. In Section 3 we turn to the boundary behavior of this operator-valued Poisson integral. The results obtained in this section improve upon...
Hans-Christoph Grunau, Guido Sweers (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dorin Bucur, Ilaria Fragalà, Jimmy Lamboley (2012)
ESAIM: Control, Optimisation and Calculus of Variations
Motivated by a long-standing conjecture of Pólya and Szegö about the Newtonian capacity of convex bodies, we discuss the role of concavity inequalities in shape optimization, and we provide several counterexamples to the Blaschke-concavity of variational functionals, including capacity. We then introduce a new algebraic structure on convex bodies, which allows to obtain global concavity and indecomposability results, and we discuss their application...
Dorin Bucur, Ilaria Fragalà, Jimmy Lamboley (2012)
ESAIM: Control, Optimisation and Calculus of Variations
Motivated by a long-standing conjecture of Pólya and Szegö about the Newtonian capacity of convex bodies, we discuss the role of concavity inequalities in shape optimization, and we provide several counterexamples to the Blaschke-concavity of variational functionals, including capacity. We then introduce a new algebraic structure on convex bodies, which allows to obtain global concavity and indecomposability results, and we discuss their application to isoperimetric-like inequalities. As a byproduct...