Add to ORKGInspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study a variation of this operator,namely P(g,a) , depending on an analytic symbol g and an n - tuple of complex numbers, a . Regarding the boundedness properties of this operator we prove that P(g,a) is a bounded linear operator from H^p to itself if and only if g is an analytic function of bounded mean oscillation and compact if and only if g is of vanishing mean oscillation. Furthermore in the special case n=2, a=0 we completely characterized the functions g for which P(g,a) is bounded from H^p to H^q, 0<p,q. As an application of our theorem we prove a factorization theorem for any derivative of an $ H^p $ function, and also a theorem about solu...
Let $\mu$ be a finite Borel measure on $[0,1)$. In this paper, we consider the generalized integral ...
We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z ...
In this paper we study Littlewood-Paley-Stein functions associated with the Poisson semigroup for th...
Let D be the unit disc in C. If μ is a finite positive Borel measure on the interval [0, 1) and f is...
In this paper, we define and study some properties of the generalized Hardy space HF,2, where F is a...
For a finite positive Borel measure $\mu$ on $(0,1)$ we consider an infinite matrix $\Gamma_\mu$ whi...
For a finite positive Borel measure $\mu$ on $(0,1)$ we consider an infinite matrix $\Gamma_\mu$ whi...
AbstractWe determine the spectrum of generalized Cesàro operators with essentially rational symbols ...
The purpose of the paper is to study the operators on the weighted Bergman spaces on the unit disk $...
For analytic functions g on the unit disk with non-negative Maclaurin coefficients, we describe the ...
summary:Let $K\subset \mathbb{R}^m$ ($m\ge 2$) be a compact set; assume that each ball centered on t...
summary:Let $K\subset \mathbb{R}^m$ ($m\ge 2$) be a compact set; assume that each ball centered on t...
We study the composition operators of the Hardy space on D∞ ∩ℓ1, the ℓ1 part of the infinite polydi...
AbstractWe show that if 0<p<∞ then the operatorGf(ζ)=∫Γ(ζ)|f(z)|dμ/(1−|z|) maps the Hardy spaceHptoL...
We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for wh...
Let $\mu$ be a finite Borel measure on $[0,1)$. In this paper, we consider the generalized integral ...
We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z ...
In this paper we study Littlewood-Paley-Stein functions associated with the Poisson semigroup for th...
Let D be the unit disc in C. If μ is a finite positive Borel measure on the interval [0, 1) and f is...
In this paper, we define and study some properties of the generalized Hardy space HF,2, where F is a...
For a finite positive Borel measure $\mu$ on $(0,1)$ we consider an infinite matrix $\Gamma_\mu$ whi...
For a finite positive Borel measure $\mu$ on $(0,1)$ we consider an infinite matrix $\Gamma_\mu$ whi...
AbstractWe determine the spectrum of generalized Cesàro operators with essentially rational symbols ...
The purpose of the paper is to study the operators on the weighted Bergman spaces on the unit disk $...
For analytic functions g on the unit disk with non-negative Maclaurin coefficients, we describe the ...
summary:Let $K\subset \mathbb{R}^m$ ($m\ge 2$) be a compact set; assume that each ball centered on t...
summary:Let $K\subset \mathbb{R}^m$ ($m\ge 2$) be a compact set; assume that each ball centered on t...
We study the composition operators of the Hardy space on D∞ ∩ℓ1, the ℓ1 part of the infinite polydi...
AbstractWe show that if 0<p<∞ then the operatorGf(ζ)=∫Γ(ζ)|f(z)|dμ/(1−|z|) maps the Hardy spaceHptoL...
We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for wh...
Let $\mu$ be a finite Borel measure on $[0,1)$. In this paper, we consider the generalized integral ...
We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z ...
In this paper we study Littlewood-Paley-Stein functions associated with the Poisson semigroup for th...