Hardy norm, Bergman norm, and univalency
Hardy spaces, A..., and singular integrals on chord-arc domains
Hardy type inequalities in higher dimensions with explicit estimate of constants.
Harmonic analysis on the quantized Riemann sphere.
Harmonic close-to-convex mappings.
Harmonic diffeomorphisms and Teichmüller theory.
Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Harmonic extensions and the Böttcher-Silbermann conjecture
We present counterexamples to a conjecture of Böttcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space and discuss conditions under which the Poisson kernel is asymptotically multiplicative.
Harmonic functions on classical rank one balls
In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).
Harmonic functions satisfying weighted sign conditions on the boundary
Harmonic functions starlike of the complex order
Harmonic mappings in the exterior of the unit disk
In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition [...] . We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.
Harmonic mappings onto parallel slit domains
We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.
Harmonic maps from surfaces to certain Kaehler manifolds.
Harmonic parametrization of geodesic quadrangles on surfaces of constant curvature and 2-D quasi-isometric grids.
Harmonic starlike functions of complex order involving hypergeometric functions
Harmonic univalent functions defined by an integral operator.
Hausdorff convergence and the limit shape of the unicorns.
Hausdorff dimension and quasisymmetric mappings.
Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.