Littlewood–Paley characterization of BMO and Triebel–Lizorkin spaces |
| |
| Authors: | Anton Tselishchev Ioann Vasilyev |
| |
| Institution: | St. Petersburg Department of V. A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023 Russia |
| |
| Abstract: | We prove a generalization of the Littlewood–Paley characterisation of the BMO space where the shifts of a Schwartz function are replaced by a family of functions with suitable conditions imposed on them. We also prove that a certain family of Triebel–Lizorkin spaces can be characterized in a similar way. |
| |
| Keywords: | BMO Littlewood–Paley decomposition Triebel–Lizorkin spaces |
|
