4 citations · 10 across the 6 of their papers we have counts for
7 papers
Spaces of distributions on product metric spaces associated with operators
Athanasios G. Georgiadis, George Kyriazis, Pencho Petrushev
We lay down the foundation of the theory of spaces of distributions on the product of doubling metric measure spaces , in the presence of non-negative se…
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…
Hardy spaces associated with non-negative self-adjoint operators
S. Dekel, G. Kerkyacharian, G. Kyriazis +1
Maximal and atomic Hardy spaces Hp and HAp , are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat ker…
A new proof of the atomic decomposition of Hardy spaces
S. Dekel, G. Kerkyacharian, G. Kyriazis +1
A new proof is given of the atomic decomposition of Hardy spaces Hp, in the classical setting of Rn. The new method can be used to establish atomic decomposition of maximal Hardy s…
Inversion of noisy Radon transform by SVD based needlet
Gérard Kerkyacharian, George Kyriazis, Erwan Le Pennec +2
A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon t…
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…
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…