13 citations · 41 across the 20 of their papers we have counts for
4 papers · 1 filter
Nonlinear Calderón-Zygmund inequalities for maps
Batu Güneysu, Stefano Pigola
Being motivated by the problem of deducing -bounds on the second fundamental form of an isometric immersion from -bounds on its mean curvature vector field, we prove a (n…
Kac regular sets and Sobolev spaces in geometry, probability and quantum physics
Francesco Bei, Batu Güneysu
Let be an open subset of a Riemannian manifold and let $V:M\to \IR$ be a Kato decomposable potential. With the natural form domain of the Schröd…
-interpolation inequalities and global Sobolev regularity results (with an appendix by Ognjen Milatovic)
Batu Güneysu, Stefano Pigola
On any complete Riemannian manifold and for all , we prove a family of second order -interpolation inequalities that arise from the following simple $L^…
On the geometry of semiclassical limits on Dirichlet spaces
Batu Güneysu
This paper is a contribution to semiclassical analysis for abstract Schrödinger type operators on locally compact spaces: Let be a metrizable seperable locally compact space, l…