Results 11 to 20 of about 33 (33)
, 2022 In this paper, we survey recent results obtained by the authors on the preservations of the first elements of (g-) Loewner chains and the Bloch mappings by the Roper-Suffridge type extension operators, the Muir type extension opera- tors and the ...
HAMADA, Hidetaka +3 more
core +1 more source
Linear invariance and extension operators of Pfaltzgraff–Suffridge type
, 2022 We consider the image of a linear-invariant family F of normalized locally biholomorphic mappings defined in the Euclidean unit ball Bn of Cn under the extension operator Φn,m,β [f ](z, w) = (f (z), [Jf (z)]βw\, (z, w) ∈ Bn+m ⊆ Cn × Cm, where β ∈ C,
MUIR, Jr. , Jerry R.
core +1 more source
Professor GABRIELA KOHR – A life for research. In memoriam
, 2022 We review the main contributions of Professor Gabriela Kohr in her studies in the Geometric function theory in several complex variables and complex Banach spaces with special emphasis on the theory of Loewner chains and the Loewner differential equation.
SĂLĂGEAN, Grigore Ștefan +1 more
core
Distortion of boundary sets under inner functions. II [PDF]
, 1996 33 pages, no figures.-- MSC2000 codes: 32A30, 30C85, 30D50.MR#: MR1379286 (97b:30035)Zbl#: Zbl 0847.32005We present a study of the metric transformation properties of inner functions of several complex variables.
Pestana, Domingo +2 more
core
, 2018 We generalize some criteria of boundedness of L-index in joint variables for analytic in an unit ball functions. Our propositions give an estimate maximum modulus of the analytic function on a skeleton in polydisc with the larger radii by maximum modulus
BANDURA, Andriy, SKASKIV, Oleh
core +1 more source
Hyperbolic Double-Complex Laplace Operator [PDF]
, 2012 2010 Mathematics Subject Classification: 35G35, 32A30, 30G35.In this paper is introduced the hyperbolic double-complex Laplace operator. The hyperbolic decomplexification of the hyperbolic doublecomplex Laplace operator and its characteristic set is ...
N. Apostolova, Lilia
core
Dirichlet problem for pluriholomorphic functions of two complex variables [PDF]
, 2006 In this paper the Dirichlet problem for pluriholomorphic functions of two complex variables is investigated. The key point is the relation between pluriholomorphic functions and pluriharmonic functions.
Perotti, Alessandro
core
Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials [PDF]
, 2012 MSC 2010: 30C10, 32A30, 30G35The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2],
Apostolova, Lilia N.
core
Квадратни корени на бикомплексно число и квадратно уравнение с бикомплексна променлива
, 2011 [Apostolova Lilia N.; Apostolova Lilia Nik.; Апостолова Лилия Н.; Апостолова Лилия Ник.]Square roots of bicomplex number are found. Quadratic equation of bicomplex variable is solved.
Apostolova, Lilia N.
core
Some of the next articles are maybe not open access.
The failure of interior-exterior factorization in the polydisc and the ball
Tohoku Mathematical Journal, 1972L A Rubel, A L Shields
exaly