A Criterion for a Meromorphic Function to be Normal
A formula for the Bloch norm of a -function on the unit ball of
For a -function on the unit ball we define the Bloch norm by where is the invariant derivative of and then show that
A New approach to normality criterion.
A normality criterion for meromorphic functions having multiple zeros
We prove a normality criterion for a family of meromorphic functions having multiple zeros which involves sharing of a non-zero value by the product of functions and their linear differential polynomials.
A note on coefficient multipliers and
A note on new estimates for distances in analytic function spaces.
A note on some results of Schwick.
A p-Valent Function with a Non-Normal Derivative.
An analogue of Montel’s theorem for some classes of rational functions
For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best -approximation with an unbounded number of finite poles are considered.
An example of a Bloch function.
An extension of Schwick's theorem for normal families
In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.
An indestructible Blaschke product in the little Bloch space.
The little Bloch space, B0, is the space of all holomorphic functions f on the unit disk such that limlzl→1 lf'(z)l (1- lzl2) = 0. Finite Blaschke products are clearly in B0, but examples of infinite products in B0 are more difficult to obtain (there are now several constructions due to Sarason, Stephenson and the author, among others). Stephenson has asked whether B0 contains an infinite, indestructible Blaschke product, i.e., a Blaschke product B so that (B(z) - a)/(1 - âB(z)), is also a Blaschke...
Bloch functions in several complex variables. II.
Bloch, Hardy, and BMOA spaces in the ball.
Boundary behavior of the power series of the enlarged Bloch class.
Bounded plateau and Weierstrass martingales with infinite variation in each direction.
Carleson measure, atomic decomposition and free interpolation from Bloch space.
Characterization of the Set of Limit Points of the Zeros of Annular Functions.
Cluster sets and essential cluster sets of meromorphic functions.
Composition operators in hyperbolic -classes.