Hajłasz-Sobolev type spaces and -energy on the Sierpinski gasket.
Hankel forms
It is an open question whether Nehari's theorem on the circle group has an analogue on the infinite-dimensional torus. In this note it is shown that if the analogue holds, then some interesting inequalities follow for certain trigonometric polynomials on the torus. We think these inequalities are false but are not able to prove that.
Hankel forms and sums of random variables
A well known theorem of Nehari asserts on the circle group that bilinear forms in H² can be lifted to linear functionals on H¹. We show that this result can be extended to Hankel forms in infinitely many variables of a certain type. As a corollary we find a new proof that all the norms on the class of Steinhaus series are equivalent.
Hardy and Cowling-Price theorems for a Cherednik type operator on the real line
This paper is aimed to establish Hardy and Cowling-Price type theorems for the Fourier transform tied to a generalized Cherednik operator on the real line.
Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
Holomorphic functions and subelliptic heat kernels over Lie groups
Homogeneous Besov spaces on locally compact Vilenkin groups