Extreme points and support points of harmonic \(\alpha\)-Bloch mappings

DOI10.1216/rmj.2020.50.1323zbMath1451.30110OpenAlexW3091419094MaRDI QIDQ2204750

Jinjing Qiao, Miaomiao Huang, Saminathan Ponnusamy

Publication date: 16 October 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1601344828

zbMATH Keywords

extreme pointssupport pointsharmonic \(\alpha\)-Bloch mappingslittle harmonic \(\alpha\)-Bloch mappings

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Banach spaces of continuous, differentiable or analytic functions (46E15) Bloch spaces (30H30)

Related Items (3)

Lipschitz property of harmonic mappings with respect to pseudo-hyperbolic metric ⋮ Extreme points of \(\alpha \)-normal functions ⋮ Unnamed Item

Cites Work

• On extreme points of subordination families with a convex majorant
• Extreme points of the unit ball of the Bloch space \(B_0\)
• Bloch type spaces of analytic functions
• The support points of the unit ball in Bloch space
• Classes of analytic functions subordinate to convex functions and extreme points
• Bloch and normal functions and their relation
• On harmonic \({\nu}\)-Bloch and \({\nu}\)-Bloch-type mappings
• Inequalities of Carlson type for \(\alpha\)-Bloch functions
• Harmonic maps and ideal fluid flows
• Analogues to Landau's inequality for nonvanishing bounded functions and for Bloch functions
• A harmonic maps approach to fluid flows
• Applications of extreme-point theory to univalent functions
• Subordination and extreme-point theory
• On Extreme Points of Subordination Families
• Subordination Families and Extreme Points
• Hull Subordination and Extremal Problems for Starlike and Spirallike Mappings
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Makarov's principle for the Bloch unit ball
• Recognizing \(\mathfrak{Q}_{p,0}\) functions per Dirichlet space structure
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