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.
Güneysu, B., Pigola, S. (2018). Nonlinear Calderón–Zygmund inequalities for maps. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 54(3), 353-364 [10.1007/s10455-018-9605-5].
Nonlinear Calderón–Zygmund inequalities for maps
Pigola, Stefano
2018
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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