Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball

G. Kyriazis, P. Petrushev, Yuan Xu

Weighted Triebel-Lizorkin and Besov spaces on the unit ball $B^d$ in $\Rd$ with weights $\W(x)= (1-|x|^2)^{μ-1/2}$, $\mu \ge 0$, are introduced and explored. A decomposition scheme is…