More on modified quaternionic analysis in R3.
Heinz Leutwiler (1995)
Forum mathematicum
Matti Lassas, Gunther Uhlmann (2001)
Annales scientifiques de l'École Normale Supérieure
L. Saloff-Coste (1994)
Forum mathematicum
Michele Balzano, Lino Notarantonio (1998)
Rendiconti del Seminario Matematico della Università di Padova
J. Eells, L. Lemaire (1980)
Mathematische Annalen
Werner Ballmann (1989)
Forum mathematicum
Seiki Nishikawa (1980)
Mathematische Annalen
Jerry L. Kazdan, Zhiren Jin (1991)
Mathematische Zeitschrift
M. Holopainen, S. Markvorsen, V. Palmer (2009)
Revista Matemática Iberoamericana
Ilkka Holopainen, Paolo M. Soardi (1997)
Manuscripta mathematica
Misha Gromov (2014)
Open Mathematics
We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
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.
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.
David Jersion (1991)
Inventiones mathematicae
P. Mathieu (1998)
Séminaire de probabilités de Strasbourg
Michael Cowling, Stefano Meda, Roberta Pasquale (1999)
Annales de l'institut Fourier
Let be a metric space, equipped with a Borel measure satisfying suitable compatibility conditions. An amalgam is a space which looks locally like but globally like . We consider the case where the measure of the ball with centre and radius behaves like a polynomial in , and consider the mapping properties between amalgams of kernel operators where the kernel behaves like when and like when . As an application, we describe Hardy–Littlewood–Sobolev type regularity theorems...
Xiang Dong Li (2006)
Revista Matemática Iberoamericana
Anandam, V., Othman, S.I. (2006)
International Journal of Mathematics and Mathematical Sciences
Toshikazu Sunada (1979)
Inventiones mathematicae
Ilkka Holopainen (1994)
Revista Matemática Iberoamericana