Athanasios G. Georgiadis

Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces

Homogeneous mixed-norm Triebel–Lizorkin spaces are introduced and studied with the use of a discrete wavelet transformation, the so-called

Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators

\varphi

Anisotropic Mixed-Norm Hardy Spaces

φ-transform. This extends the classical

Pseudodifferential operators on mixed-nom Besov and Triebel-Lizorkin spaces

\varphi

Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators

φ-transform approach introduced by Frazier and Jawerth to the setting of mixed-norm spaces. Moreover, the theory of the