1. CMB Online first
|Embedding theorem for inhomogeneous Besov and Triebel-Lizorkin spaces on RD-spaces|
In this article we prove the embedding theorem for inhomogeneous Besov and Triebel-Lizorkin spaces on RD-spaces. The crucial idea is to use the geometric density condition on the measure.
Keywords:spaces of homogeneous type, test function space, distributions, CalderÃ³n reproducing formula, Besov and Triebel-Lizorkin spaces, embedding
Categories:42B25, 46F05, 46E35
2. 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