Being motivated by the problem of deducing Lp-bounds on the second fundamental form of an isometric immersion from Lp-bounds on its mean curvature vector field, we prove a nonlinear Calderón–Zygmund inequality for maps between complete (possibly noncompact) Riemannian manifolds.
Nonlinear Calderón–Zygmund inequalities for maps
Pigola, Stefano
2018-01-01
Abstract
Being motivated by the problem of deducing Lp-bounds on the second fundamental form of an isometric immersion from Lp-bounds on its mean curvature vector field, we prove a nonlinear Calderón–Zygmund inequality for maps between complete (possibly noncompact) Riemannian manifolds.
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