Search Results - "Holomorphic functions of several complex variables"

Weighted composition operators on weighted-type high-order growth spaces on the unit ball by Quang, Thai Thuan

“…In this paper, we propose and investigate a class of weighted-type high-order growth spaces Hω(n):={f∈H(B):supz∈B⁡ω(z)|R(n)f(z)|<∞} of holomorphic functions on…”
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The central role of Montel's theorem in complex function theory by Krantz, Steven G., Dovbush, Peter V.

“…We begin with some new characterizations of normal families. Then we shift gears to see that normal families lie at the basis of complex function theory…”
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Construction of solutions to PDEs using holomorphic functions of several variables by Shpakivskyi, Vitalii

“…The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson…”
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Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables by Dmytryshyn, Roman, Sharyn, Serhii

“…The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with…”
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On the Analytic Extension of Lauricella–Saran’s Hypergeometric Function FK to Symmetric Domains by Dmytryshyn, Roman, Goran, Vitaliy

“…In this paper, we consider the representation and extension of the analytic functions of three variables by special families of functions, namely branched…”
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Some new characterizations of the boundedness and compactness of weighted composition operators between Bloch-type spaces by Lam, Lien Vuong, Van Dai, Nguyen, Quang, Thai Thuan

“…Let ψ∈H(Bn) be the space of all holomorphic functions on the unit ball Bn of Cn and φ=(φ1,…,φn)∈S(Bn) the set of holomorphic self-maps of Bn. Let…”
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions by Antonova, Tamara, Dmytryshyn, Roman, Kril, Pavlo, Sharyn, Serhii

“…The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct…”
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Generalization of Lohwater-Pommerenke's theorem by Dovbush, Piotr Vasilievich

“…In this paper, as an application of Zalcman's lemma in ℂn, we give a sufficient condition for normality of holomorphic functions of several complex variables,…”
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z) by Antonova, Tamara, Dmytryshyn, Roman, Goran, Vitaliy

“…The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding…”
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Zalcman-Pang's lemma in C N by Dovbush, P. V.

“…The aim of this paper is to give a proof of Zalcman-Pang's Rescalling Lemma in…”
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On normal families in Cn by Dovbush, P.V.

“…We show that a family of functions holomorphic in a domain is normal if all eigenvalues of the complex Hessian matrix of are uniformly bounded away from zero…”
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On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H4(a,b;c,d;z1,z2) Ratios by Antonova, Tamara, Dmytryshyn, Roman, Lutsiv, Ilona-Anna, Sharyn, Serhii

“…The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction…”
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Zalcman's lemma in Cn by Dovbush, P. V.

“…The aim of this paper is to give a proof of Zalcman's Rescalling Lemma in…”
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On a Normality Criterion of W. Schwick by Dovbush, P. V.

“…In this paper, as an application of Zalcman’s lemma in C n , we give a sufficient condition for normality of a family of holomorphic functions of several…”
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Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains by Pierzchała, P., Kot, P.

“…In this paper we study the so-called Radon inversion problem in bounded, circular, strictly convex domains with C 2 boundary. We show that given p > 0 and a…”
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Functional Analysis and Geometry: Selim Grigorievich Krein Centennial by Kuchment, Peter, Semenov, Evgeny

“…This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary…”
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On a normality criterion of Mandelbrojt by Dovbush, P.V.

“…Extension of the classical Mandelbrojt's criterion for normality of a family of zero-free holomorphic functions of several complex variables is given. We show…”
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A new inclusion for Bavrin's families of holomorphic functions in n-circular domains by Długosz, Renata, Leś, Edyta, Sibelska, Agnieszka

“…The paper concerns inclusions of Bavrin families of complex valued functions which are hololomorphic in bounded complete -circular domains and fulfil some…”
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Embedding theorems for holomorphic functions of several complex variables by Dlugosz, Renata

“…Many authors studied families of complex valued functions, which are holomorphic in bounded complete [n]-circular domains and fulfil some geometric conditions…”
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Topics in several complex variables : first USA-Uzbekistan conference analysis and mathematical physics, May 20-23, 2014, California State University, Fullerton, CA by Ibragimov, Zair, Levenberg, Norman, Pinchuk, S. I., Sadullaev, A., USA-Uzbekistan Conference on Analysis and Mathematical Physics

“…This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USA-Uzbekistan Conference on Analysis…”
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