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- W1982971019 abstract "Beurling's boundary differential relations for holomorphic functions on a multiply connected domain D in C are considered. Let k ≥ 3 . The existence result is proved for the boundary differential relations of the form | f ′ ( ξ ) | = Φ ( f ( ξ ) ) , ξ ∈ ∂ D , where Φ is a positive C k function on C . Moreover, the existence of holomorphic solutions is proved for ρ ( ξ , f ′ ( ξ ) ) = Φ ( ξ , f ( ξ ) ) , ξ ∈ ∂ D , where ρ is a C k + 1 defining function for a family of Jordan curves in C containing the point 0 in its interior and Φ is a positive C k bounded function on ∂ D × C ." @default.
- W1982971019 created "2016-06-24" @default.
- W1982971019 creator A5040078427 @default.
- W1982971019 date "2015-08-01" @default.
- W1982971019 modified "2023-09-24" @default.
- W1982971019 title "Beurling's boundary differential relations on multiply connected domains" @default.
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- W1982971019 doi "https://doi.org/10.1016/j.jmaa.2015.03.024" @default.
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