54 citations · 57 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
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…
Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
A. G. Georgiadis, J. Johnsen, M. Nielsen
Homogeneous mixed-norm Triebel--Lizorkin spaces are introduced and studied with the use of a discrete wavelet transformation, the so-called -transform. This extends the classica…