Kruse, KarstenKarstenKruse2020-06-112020-06-112020-05-30Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 3 (114): 141 (2020-07-01)http://hdl.handle.net/11420/6292Let Ω be an open subset of R2 and E a complete complex locally convex Hausdorff space. The purpose of this paper is to find conditions on certain weighted Fréchet spaces EV(Ω) of smooth functions and on the space E to ensure that the vector-valued Cauchy–Riemann operator ∂¯ : EV(Ω, E) → EV(Ω, E) is surjective. This is done via splitting theory and positive results can be interpreted as parameter dependence of solutions of the Cauchy–Riemann operator.en1579-1505Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales20203Springerhttps://creativecommons.org/licenses/by/4.0/Cauchy–RiemannParameter dependenceSmoothSolvabilityVector-valuedWeightMathematikParameter dependence of solutions of the Cauchy–Riemann equation on weighted spaces of smooth functionsJournal Article10.15480/882.279810.1007/s13398-020-00863-x10.15480/882.27981901.01235Other