2 citations · 2 across the 1 of their papers we have counts for
4 papers
Minimax Density Estimation on Sobolev Spaces With Dominating Mixed Smoothness
Galatia Cleanthous, Athanasios G. Georgiadis, Emilio Porcu
We study minimax density estimation on the product space . We consider -risk for probability density functions defined over regularity…
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…
Kernel and wavelet density estimators on manifolds and more general metric spaces
G. Cleanthous, A. Georgiadis, G. Kerkyacharian +2
We consider the problem of estimating the density of observations taking values in classical or nonclassical spaces such as manifolds and more general metric spaces. Our setting is…
Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions
Galatia Cleanthous, Athanasios G. Georgiadis, Morten Nielsen
A new general Hormander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multi- pliers on anisotropic Besov and Triebel-Lizo…