Results 81 to 90 of about 2,712,853 (214)

Generalized transversely projective structure on a transversely holomorphic foliation

International Journal of Mathematics and Mathematical Sciences, 2002
The results of Biswas (2000) are extended to the situation of transversely projective foliations. In particular, it is shown that a transversely holomorphic foliation defined using everywhere locally nondegenerate maps to a projective space ℂℙn, and ...
Indranil Biswas
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Global Holomorphic Functions in Several Noncommuting Variables [PDF]

, 2014
We define a free holomorphic function to be a function that is locally, with respect to the free topology, a bounded nc-function. We prove that free holomorphic functions are the functions that are locally uniformly approximable by free polynomials.
Agler, Jim, John E. McCarthy, Jim Agler, McCarthy, John E   +3 more
core   +1 more source

Some subordination and superordination results for the generalized hypergeometric functions associated with Ruscheweyh derivative

Le Matematiche, 2014
Our purpose in this paper is to define a linear operator  F_{p,q,s}[\alpha_{1},m], then applying it to obtain some results on subordination and superordination preserving properties of holomorphic multivalent functions in the  open unit disc.
Abdul Rahman S. Juma, Fateh S. Aziz
doaj  

Vector valued holomorphic functions

, 2009
We survey results on holomorphic functions (of one complex variable) with values in a complex topological vector space hinting to their extension to the case of several complex variables.
DRAGOMIR, Sorin, BARLETTA, Elisabetta
core  

Orthogonally additive holomorphic functions of bounded type over C(K) [PDF]

, 2010
It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x)= ∫Kxkdμ. Thus, x → xk factors all orthogonally additive polynomials through some linear form μ.
Daniel Carando, Carando, Daniel Germán, Lassalle, Silvia Beatriz, Silvia Lassalle, Ignacio Zalduendo, Zalduendo, Ignacio Martin   +5 more
core   +1 more source

Biduality in Spaces of Holomorphic Functions

MATHEMATICA SCANDINAVICA, 2000
This paper contains characterizations of the bidual space of some closed subspaces of $\mathcal{H}_b(U)$, the space of holomorphic functions bounded type defined on an open subset $U$ of a Banach space $X$, where $U$ is either a bounded balanced open set or the whole space $X$.
Galindo, P., Maestre, M., Rueda, P.
openaire   +3 more sources

Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces

Abstract and Applied Analysis, 2009
Let H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function ...
Xiangling Zhu
doaj   +1 more source

On the deviation of Milin's functional

Mathematical Modelling and Analysis, 2003
The goal of the present paper is to formulate the problem of investigation of the deviation of Milin's functional for the holomorphic in the unit disk function or on the whole class S. The first results of such investigations are presented.
I. Aleksandrov, T. Kasatkina, A. Aleksandrov   +2 more
doaj   +1 more source

Linearization of holomorphic Lipschitz functions [PDF]

Let X and Y complex Banach spaces with denoting the open unit ball of . This paper studies various aspects of the holomorphic Lipschitz space , endowed with the Lipschitz norm.
Dimant, Verónica, Aron, Richard, García-Lirola, Luis C., Maestre, Manuel, García Lirola, Luis C., Dimant, Veronica Isabel   +5 more
core   +1 more source

Distortion Theory of Biunivalent Holomorphic Functions

Axioms
Biunivalent holomorphic functions form an interesting class in geometric function theory and are associated with special functions and solutions of complex differential equations.
Samuel L. Krushkal
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