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Nonlinear Calderón–Zygmund inequalities for maps

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Being motivated by the problem of deducing $$\mathsf {L}^{p}$$Lp-bounds on the second fundamental form of an isometric immersion from $$\mathsf {L}^{p}$$Lp-bounds on its mean curvature vector field, we prove a… Click to show full abstract

Being motivated by the problem of deducing $$\mathsf {L}^{p}$$Lp-bounds on the second fundamental form of an isometric immersion from $$\mathsf {L}^{p}$$Lp-bounds on its mean curvature vector field, we prove a nonlinear Calderón–Zygmund inequality for maps between complete (possibly noncompact) Riemannian manifolds.

Keywords: nonlinear calder; zygmund inequalities; calder zygmund; inequalities maps

Journal Title: Annals of Global Analysis and Geometry
Year Published: 2017

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