Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂn

Chirilă, Teodora

doi:10.1080/17476933.2013.856422

Search citation statements

Order By: Relevance

Paper Sections

Select...

The Operator φ Nαβ and G-loewner Chains1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2022

Publication Types

Select...

Article6

Book1

Relationship

Self Cite0

Independent7

Authors

Journals

Cited by 9 publications

(2 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and a = tan δ (see also [7]). Indeed, since f is spirallike of type δ and order γ, it is also spirallike of type δ on U .…”

Section: The Operator φ Nαβ and G-loewner Chainsmentioning

confidence: 98%

An Extension Operator Associated With Certain $G$-Loewner Chains

Chirilă¹

2013

Taiwanese J. Math.

View full text Add to dashboard Cite

In this paper we are concerned with an extension operator Φ n,α,β that provides a way of extending a locally univalent function f on the unit disc U to a locally biholomorphic mapping F ∈ H(B n ). By using the method of Loewner chains, we prove that if f can be embedded as the first element of a g-Loewner chain on the unit disc, whereAlso, if f is spirallike of type δ and order γ on U , where δ ∈ (−π/2, π/2) and γ ∈ (0, 1), then F = Φ n,α,β (f) is spirallike of type δ and order γ on B n . We also obtain a subordination preserving result under the operator Φ n,α,β and we consider some radius problems associated with this operator.

show abstract

“…and a = tan δ (see also [7]). Indeed, since f is spirallike of type δ and order γ, it is also spirallike of type δ on U .…”

Section: The Operator φ Nαβ and G-loewner Chainsmentioning

confidence: 98%

An Extension Operator Associated With Certain $G$-Loewner Chains

Chirilă¹

2013

Taiwanese J. Math.

View full text Add to dashboard Cite

show abstract

“…D n f (x) [(x − x 0 ) n ] in (1.2). The classical Fekete-Szegö problem [12] for a given subclass F ⊂ Hol(D, C) is to find sup f ∈F a 3 − νa 2 2 , where f (z) = z + a 2 z 2 + a 3 z 3 + . .…”

Section: Introductionmentioning

confidence: 99%

The Fekete-Szego problem for spirallike mappings and non-linear resolvents in Banach spaces

Elin¹,

Jacobzon²

2022

Stud. Univ. Babes-Bolyai Math.

View full text Add to dashboard Cite

"We study the FeketeSzego problem on the open unit ball of a complex Banach space. Namely, the FeketeSzego inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses. Next, we consider families of non-linear resolvents for holomorphically accretive mappings vanishing at the origin. We solve the Fekete- Szego problem over these families."

show abstract

Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings

Chirilă

2014

Topics in Mathematical Analysis and Applications

View full text Add to dashboard Cite

Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂⁿ

Cited by 9 publications

References 23 publications

An Extension Operator Associated With Certain $G$-Loewner Chains

An Extension Operator Associated With Certain $G$-Loewner Chains

The Fekete-Szego problem for spirallike mappings and non-linear resolvents in Banach spaces

Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings

Contact Info

Product

Resources

About