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
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.