1. CMB 2011 (vol 55 pp. 303)
||Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces|
In this article, we establish a new atomic decomposition for $f\in L^2_w\cap H^p_w$,
where the decomposition converges in $L^2_w$-norm rather than in the distribution sense.
As applications of this decomposition, assuming that $T$ is a linear
operator bounded on $L^2_w$ and $0
Keywords:$A_p$ weights, atomic decomposition, CalderÃ³n reproducing formula, weighted Hardy spaces
2. CMB 1998 (vol 41 pp. 196)
||Brown-Halmos type theorems of weighted Toeplitz operators |
The spectra of the Toeplitz operators on the weighted Hardy space
$H^2(Wd\th/2\pi)$ and the Hardy space $H^p(d\th/2\pi)$, and the
singular integral operators on the Lebesgue space $L^2(d\th/2\pi)$
are studied. For example, the theorems of Brown-Halmos type and
Hartman-Wintner type are studied.
Keywords:Toeplitz operator, singular integral, operator, weighted Hardy space, spectrum.