We study the existence of a solution to a general type of complex Hessian equation on some Cegrell classes. For a given measure μ defined on an m-hyperconvex domain Ω ⊂ ℂn, under suitable conditions, we prove that the equation χ(.)Hm(.) = μ has a solution that belongs to the class ℰm,χ(Ω).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 6, pp. 805–816, June, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i6.7122.
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Zaway, M., Hbil, J. Complex Hessian-Type Equations in the Weighted m-Subharmonic Class. Ukr Math J 75, 921–935 (2023). https://doi.org/10.1007/s11253-023-02237-z
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DOI: https://doi.org/10.1007/s11253-023-02237-z