Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Georgiadis, Athanasios G."
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Article
Homogeneous Besov and Triebel–Lizorkin spaces associated to non-negative self-adjoint operators
Georgiadis, Athanasios G.; Kerkyacharian, G.; Kyriazis, George C.; Petrushev, P. (2017)Homogeneous Besov and Triebel–Lizorkin spaces with complete set of indices are introduced in the general setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel ...
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Article
Product Besov and Triebel–Lizorkin Spaces with Application to Nonlinear Approximation
Georgiadis, Athanasios G.; Kyriazis, George; Petrushev, Pencho (2019)The Littlewood–Paley theory of homogeneous product Besov and Triebel–Lizorkin spaces is developed in the spirit of the $$\varphi $$φ-transform of Frazier and Jawerth. This includes the frame characterization of the product ...