Results 21 to 30 of about 520 (182)
Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
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Slice regular functions in several variables [PDF]
, 2020 In this paper, we lay the foundations of the theory of slice regular functions in several variables ranging in any real alternative $^*$-algebra, including quaternions, octonions and Clifford algebras.
Ghiloni, Riccardo, Perotti, Alessandro
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Boundary Morera theorems for holomorphic functions of several complex variables
Duke Mathematical Journal, 1991 Sei \(D\subset\mathbb{C}^ N\) ein beschränktes Gebiet und \(A(D):=C(\overline D)\cap{\mathcal O}(D)\). In der Arbeit geht es um die Frage, wann eine Funktion \(f\in C(\partial D)\) nach \(D\) holomorph fortsetzbar, d.h. Beschränkung einer Funktion aus \(A(D)\) ist. Eine notwendige und unter geeigneten Voraussetzungen auch hinreichende Bedingung ist die
Globevnik, Josip, Stout, Edgar Lee
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Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
Journal of Function Spaces, 2017 We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the ...
Yong Liu
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Universal overconvergence and Ostrowski gaps for holomorphic functions of several variables [PDF]
, 2016 We study the universal overconvergence and its relations with Ostrowski gaps for holomorphic functions of several complex ...
Jarnicki, Marek, Siciak, Józef
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Asymptotic first boundary value problem for holomorphic functions of several complex variables [PDF]
Canadian Mathematical Bulletin, 2021 AbstractIn 1955, Lehto showed that, for every measurable function $\psi $ on the unit circle ${\mathbb T}$ , there is a function f holomorphic in the unit disc ${{\mathbb D}}$ , having $\psi $ as radial limit a.e. on ${\mathbb T}$ . We consider an analogous boundary value problem, where the unit disc is replaced by a Stein domain on a complex ...
Paul M. Gauthier, Mohammad Shirazi
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Zhejiang Daxue xuebao. Lixue ban, 2016 Supposing that α>0,let g be holomorphic functions in the unit ball B and µ(r) be a normal function on [0,1). Some questions of extended Cesàro operators are studied from µ-Bloch spaces to Zygmund type spaces in the unit ball. By the methods of functional
ZHAOYanhui(赵艳辉)
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Fatou and Korányi-Vági type theorems on the minimal ball [PDF]
, 2002 In this paper we develop the Hp (p [greater than or equal] 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Korányi-Vági type on this ...
Viêt-Anh Nguyên, Anh, Nguyên Viêt
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A Landau's theorem in several complex variables [PDF]
, 2017 In one complex variable, it is well known that if we consider the family of all holomorphic functions on the unit disc that fix the origin and with first derivative equal to 1 at the origin, then there exists a constant ρ, independent of the functions ...
BISI, Cinzia
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Fractal and FractionalThe paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
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