4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.FA2014★ 4 cited
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…
math.FA2014★ 3 cited
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…
math.FA2012
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
Gerard Kerkyacharian, Pencho Petrushev
Classical and non classical Besov and Triebel-Lizorkin spaces with complete range of indices are developed in the general setting of Dirichlet space with a doubling measure and loc…