Maximal inequalities and Fourier multipliers for spaces with mixed quasinorms. Applications
The author proves maximal inequalities and Fourier multiplier theorems for various types of spaces with mixed quasinorms. The relations with Besov and Lizorkin-Triebel spaces and Sobolev spaces with dominating mixed derivatives in the sense of P. I. Lizorkin and S. M. Nikol'skij are under consideration. The investigations are connected to those of H. Triebel, T. I. Amanov, P. I. Lizorkin, S. M. Nikol'skij and others.
scientific article; zbMATH DE number 3857691