Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces
Agnieszka Kałamajska (1994)
Studia Mathematica
Adam Korányi (1976)
Inventiones mathematicae
Tomasz Żak (2007)
Studia Mathematica
The aim of this paper is to give a description of the Poisson kernel and the Green function of balls in the complex hyperbolic space. The description is in terms of the hypergeometric function and unitary spherical harmonics in ℂⁿ.
Carlos E. Kenig, Tatiana Toro (2003)
Annales scientifiques de l'École Normale Supérieure
Trojan, Bartosz (2002)
Journal of Lie Theory
Astrid Baumann (1982)
Journal für die reine und angewandte Mathematik
Juha Heinonen, Tero Kilpeläinen (1988)
Mathematica Scandinavica
Betsakos, Dimitrios (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
Eric Bedford, John Smillie (1991)
Inventiones mathematicae
Yong Hah Lee (2004)
Revista Matemática Iberoamericana
In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic functions with fixed degree on a complete Riemannian manifold, under various assumptions.
Bertram Walsh (1974/1975)
Manuscripta mathematica
Rainer Wittmann (1985)
Mathematische Zeitschrift
Boo Rim Choe, Hyungwoon Koo, Young Joo Lee (2008)
Studia Mathematica
On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.
Bachar, Imed, Mâagli, Habib, Mâatoug, Lamia (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Eun Sun Choi (2008)
Czechoslovak Mathematical Journal
We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space into another for in terms of certain Carleson and vanishing Carleson measures.
Rolf Stenberg (1991)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Gegelia, T., Jentsch, L. (1994)
Georgian Mathematical Journal
Jiaxin Hu, Martina Zähle (2005)
Studia Mathematica
We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.
J.-B. Bost (1999)
Annales scientifiques de l'École Normale Supérieure
J. J. Kohn (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze