Über die Alkylvertretbarkeit in den Säureestern

Ohne Zusammenfassung     

Über die Vertretbarkeit der in den Säureestern befindlichen Alkyle

Ohne Zusammenfassung     

Über die Einwirkung von Natriumalkoholat auf Acetessigester

Ohne Zusammenfassung     

Über einen neuen synthetischen Übergang von der Fettreihe in die aromatische

Ohne Zusammenfassung     

Integral representation formulas for differential forms on complex manifolds and applications to the 327-01327-01327-01-equation

Summary An explicit Koppelman-Leray-Norguet type integral formula for differential forms is derived on generalized analytic polyhedra on complex manifolds which arise as analytic subvarieties of domains ofC ⁿ. Using this formula we give an explicit solution operator to the -equation on strictly pseudoconvex polyhedra in that setting and we prove that this solution operator admits uniform estimates.     

An explicit extension formula of bounded holomorphic functions from analytic varieties to strictly convex domains

We consider a strictly convex domain D ⁿ and m holomorphic functions, φ₁,…, φ_m, in a domain . We set V = {z ε Ω: φ₁(z) = ··· = φ_m(z) = 0}, M = V ∩ D and ∂M = V ∩ ∂D. Under the assumptions that the variety V has no singular point on ∂M and that V meets ∂D transversally we construct an explicit kernel K(ζ, z) defined for ζ ε ∂M and z ε D so that the integral operator Ef(z) = ∝ _{ζ ε ∂M} f(ζ) K(ζ, z) (z ε D), defined for f ε H^∞(M) (using the boundary values f(ζ) for a.e. ζ ε ∂M), is an extension operator, i.e., Ef(z) = f(z) for z ε M and furthermore E is a bounded operator from H^∞ to H^∞(D).