Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels
Motivated by the work of Nagel, Ricci and Stein, the author introduces Besov and Triebel-Lizorkin spaces associated to singular integrals with flag kernels. Basic properties, including dual spaces, equivalent norm characterizations via Littlewood-Paley functions, lifting properties and some embedding theorems are obtained. Boundedness of singular and fractional integrals in these spaces is studied. The consideration relies on the corresponding anisotropic wavelet transforms and the relevant reproducing formula.
scientific article; zbMATH DE number 5538728