Sentence examples for application we prove from inspiring English sources

As an application, we prove strong stability results for stable-like operators.

As an application, we prove Bott periodicity and a Thom isomorphism for algebras of Schwartz functions.

As an application, we prove the equidistribution of the Fekete arrays on some compact manifolds.

As an application, we prove the Liouville theorem in the marginal case of scaling invariance.

As an application we prove nonmonotone approximation theorems for Schrödinger operators with singular magnetic fields and singular complex potentials.

As an application we prove a criterion in terms of ρ for a set to be exceptional.

Among the applications, we prove that the modulus of asymptotic uniform smoothness is the same for all the non-asymptotically uniformly smoothable Banach spaces.

As applications we prove the strong Hodge de Rahm Kodaira decomposition for forms in Lp and deduce existence and regularity results for the solutions of the Hodge and de Rham equations in Lp.

As applications, we prove some Lp-estimates and existence theorems for the de Rham operator as well as some vanishing theorems for the Lp-cohomology and the Lp-torsion over complete non-compact Riemannian manifolds with suitable geometric conditions.

Among the applications, we prove by iteration a multivariable extrapolation theorem and give a sharp bound for Calderón Zygmund operators on Lp(w) for weights in Aq (q

As applications we prove several existence theorems for best ordered approximation.