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The boundary values of holomorphic functions of several complex variables
Duke Mathematical Journal, 1977 Edgar Lee Stout
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Boundary properties of holomorphic functions of several complex variables
Journal of Soviet Mathematics, 1976 G. M. Khenkin, E. M. Chirka
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Decomposition of holomorphic functions of several complex variables into partial fractions
Siberian Mathematical Journal, 1967 L. A. Alzenberg
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k-holomorphic functions in spaces of several complex variables
Complex Variables and Elliptic Equations, 2020In this paper, we define k-holomorphic functions in and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, Cauchy integral formula of k-holomorphic functions in and ...
Y. Qiao +3 more
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A boundary uniqueness theorem for holomorphic functions of several complex variables
Mathematical Notes of the Academy of Sciences of the USSR, 1974 If D ⊂ Cn is a region with a smooth boundary and M ⊂ ∂D is a smooth manifold such that for some point p ∈ M the complex linear hull of the tangent plane Tp(M) coincides with Cn, then for each functionf e A(D) the conditionf¦M=0 implies thatf=0 in D.
S. I. Pinehuk
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Boundary values and estimates for holomorphic functions of several complex variables
Duke Mathematical Journal, 1980 Steven G. Krantz
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Some boundary properties of holomorphic functions of several complex variables
Mathematical Notes of the Academy of Sciences of the USSR, 1978 A local uniqueness theorem and analogs of the theorem on removable singularities under the hypothesis of boundedness are proved for functions satisfying the tangential Cauchy-Riemann conditions on hypersurfaces in Cn. The results can be interpreted as giving certain boundary properties of holomorphic functions of several complex variables.
M. Naser Shafin
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Isomorphism of spaces of holomorphic functions of several complex variables
Functional Analysis and Its Applications, 1972 Vyacheslav Zakharyuta
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Extensions of p-Yosida functions to holomorphic mappings of several complex variables
Complex Variables and Elliptic Equations, 2020Let M be a complete complex Hermitian manifold with metric A holomorphic mapping is called p-Yosida mapping if is bounded above for with where is the mapping from to induced by f.
Liu Yang
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