Nonlinear Calder\'on-Zygmund inequalities for maps
Differential Geometry
2018-03-08 v2 Analysis of PDEs
Abstract
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 (nonlinear) Calder\'on-Zygmund inequality for maps between complete (possibly noncompact) Riemannian manifolds.
Keywords
Cite
@article{arxiv.1712.01336,
title = {Nonlinear Calder\'on-Zygmund inequalities for maps},
author = {Batu Güneysu and Stefano Pigola},
journal= {arXiv preprint arXiv:1712.01336},
year = {2018}
}
Comments
Some constants have been improved. To appear in Annals of Global Analysis and Geometry