Defines two new classes of holomorphic mappings on the unit ball in C^n, obtains lower bounds on Bloch's constant for them, and derives Landau-Bloch theorems for subclasses of pluriharmonic mappings.
Nirenberg , On nonlinear elliptic partial differential equations and H ölder continuity, Commun
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CV 2verdicts
UNVERDICTED 2representative citing papers
Improved coefficient bounds and Landau-Bloch theorems established for (K,K')-elliptic and K-quasiregular harmonic mappings, with coefficient estimates for K-quasiconformal harmonic self-maps on the unit disk.
citing papers explorer
-
The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$
Defines two new classes of holomorphic mappings on the unit ball in C^n, obtains lower bounds on Bloch's constant for them, and derives Landau-Bloch theorems for subclasses of pluriharmonic mappings.
-
Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings
Improved coefficient bounds and Landau-Bloch theorems established for (K,K')-elliptic and K-quasiregular harmonic mappings, with coefficient estimates for K-quasiconformal harmonic self-maps on the unit disk.