On Bloch functions and gap series.
On Bloch functions and gap series.
Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general results...
On Bloch functions and normal functions.
On BMO-type characteristics for one class of holomorphic functions in a disk.
On Boolean partial differential equations
On boundary behavior of Cauchy integrals
In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products
On boundary cluster sets.
On boundary correspondence under quasiconformal mappings.
On boundary elements of the fourth kind
On boundary homeomorphisms of trans-quasiconformal maps of the disk.
On bounded boundary and bounded radius rotations.
On Bounded Holomorphic Interpolation in Several Variables.
On bounded univalent functions that omit two given values
Let a,b ∈ z: 0<|z|<1 and let S(a,b) be the class of all univalent functions f that map the unit disk into {a,bwith f(0)=0. We study the problem of maximizing |f’(0)| among all f ∈ S(a,b). Using the method of extremal metric we show that there exists a unique extremal function which maps onto a simply connnected domain bounded by the union of the closures of the critical trajectories of a certain quadratic differential. If a<0
On central extensions of mapping class groups.
On certain analytic univalent functions.
On certain Bazilević functions of order .
On certain classes of analytic functions.
On certain classes of analytic functions
On certain classes of analytic functions