Fractals and the base eigenvalue of the Laplacian on certain noncompact surfaces.
Fractional calculus and -valently starlike functions.
Fractional calculus and some properties of Sălăgean-type -starlike functions with negative coefficients.
Fractional derivatives of Bloch type functions.
Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces
In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
Fractional iteration in the disk algebra: prime ends and composition operators.
In this paper we characterize the semigroups of analytic functions in the unit disk which lead to semigroups of operators in the disk algebra. These characterizations involve analytic as well as geometric aspects of the iterates and they are strongly related to the classical theorem of Carathéodory about local connection and boundary behaviour of univalent functions.
Fraktální geometrie
Fredholm spectrum and Grunsky inequalities in general domains
Free interpolation in Hardy-Orlicz spaces
From Taylor to quadratic Hermite-Padé polynomials.
Fuchsian groups and uniformization of Hurwitz spaces.
Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung x2 + y2 + z2 = xyz.
Fully starlike and fully convex harmonic mappings of order α
The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain families of...
Funciones asociadas a un conjunto del plano complejo.
Funciones unimodulares y acotación uniforme.
In this paper we study the role that unimodular functions play in deciding the uniform boundedness of sets of continuous linear functionals on various function spaces. For instance, inner functions are a UBD-set in H∞ with the weak-star topology.
Function Algebras and Flows. III.
Function groups in Kleinian groups.
Function theory for a Beltrami algebra.
Function theory in sectors
It is shown that there is a one-to-one correspondence between uniformly bounded holomorphic functions of n complex variables in sectors of ℂⁿ, and uniformly bounded functions of n+1 real variables in sectors of that are monogenic functions in the sense of Clifford analysis. The result is applied to the construction of functional calculi for n commuting operators, including the example of differentiation operators on a Lipschitz surface in .
Functional equation of a special Dirichlet series.