A removable set for Lipschitz harmonic functions.

The Riesz Transform, Rectifiability, and Removability for Lipschitz Harmonic Functions

We show that, given a set E ⊂ Rn+1 with finite n-Hausdorff measure Hn, if the n-dimensional Riesz transform

Lipschitz classes of A-harmonic functions in Carnot groups

The Hölder continuity of a harmonic function is characterized by the growth of its gradient. We generalize these results to solutions of certain subelliptic equations in domains in Carnot groups.

A certain convolution approach for subclasses of univalent harmonic functions

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.  

A Non - Removable Set

Removable singularities for analytic functions in BMO and locally Lipschitz spaces

In this paper we study removable singularities for holomorphic functions such that supz∈Ω |f (z)|dist(z, ∂Ω) < ∞. Spaces of this type include spaces of holomorphic functions in Campanato classes, BMO and locally Lipschitz classes. Dolzhenko (1963), Král (1976) and Nguyen (1979) characterized removable singularities for some of these spaces. However, they used a different removability concept th...