1 citations · 2 across the 2 of their papers we have counts for
3 papers
math.CA2018
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators
Athanasios G. Georgiadis, Gerard Kerkyacharian, George Kyriazis +1
We deal with homogeneous Besov and Triebel-Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kern…
math.CA2007★ 1 cited
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 in $\Rd$ with weights $\W(x)= (1-|x|^2)^{μ-1/2}$, , are introduced and explored. A decomposition scheme is…
math.CA2006★ 1 cited
Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces
George Kyriazis, Pencho Petrushev, Yuan Xu
The Littlewood-Paley theory is extended to weighted spaces of distributions on with Jacobi weights $ \w(t)=(1-t)^α(1+t)^β. $ Almost exponentially localized polynomial elem…