194 citations · 477 across the 24 of their papers we have counts for
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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…
Gaussian bounds for the heat kernels on the ball and simplex: Classical approach
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and simplex in generated by classical differential operators whose eigenfunc…
Gaussian bounds for the weighted heat kernels on the interval, ball and simplex
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
The aim of this article is to establish two-sided Gaussian bounds for the heat kernels on the unit ball and simplex in , and in particular on the interval, generated…
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
G. Kerkyacharian, P. Petrushev, D. Picard +1
A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Be…