[1] Alexopoulos G., An application of homogeneization theory to harmonic analysis: Harnack
inequalities and Riesz transforms on Lie groups of polynomial growth, Canad. J. Math. 44 …

In this paper, we introduce and develop some new function spaces of BMO (bounded mean
oscillation) type on spaces of homogeneous type or measurable subsets of spaces of …

Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem Page 1 Proc.
London Math. Soc. (3) 96 (2008) 507–544 Cо2007 London Mathematical Society doi:10.1112/plms/pdm050 …

For an abstract self-adjoint operator L and a local operator A we study the boundedness of
the Riesz transform AL− α on L p for some α> 0. A very simple proof of the obtained result is …

Let M be a smooth Riemannian manifold that is the union of a compact part and a finite
number of Euclidean ends, R n∖ B (0, R) for some R> 0, each of which carries the standard …

The paper focuses on the L p-Positivity Preservation property (L p-PP for short) on a
Riemannian manifold (M, g). It states that any L p function u with 1< p<+∞, which solves …

Riesz transform on manifolds and Poincaré inequalitie Page 1 Ann. Scuola Norm. Sup. Pisa Cl.
Sci. (5) Vol. IV (2005), 531-555 Riesz transform on manifolds and Poincaré inequalities …

En utilisant l'inégalité de Poincaré et la formule de représentation, on montre que sur le
groupe de Heisenberg de dimension réelle 3, H 1, il existe une constante C> 0 telle que:|∇ …

We obtain Euclidean volume growth results for complete Riemannian manifolds satisfying a
Euclidean Sobolev inequality and a spectral type condition on the Ricci curvature. We also …

We introduce the concept of Calderón–Zygmund inequalities on Riemannian manifolds. For
1< p<∞, these are inequalities of the form‖ Hess (u)‖ L p≤ C 1‖ u‖ L p+ C 2‖ Δ u‖ L …