Resumen de Besov and Triebel-Lizorkin Spaces Related to Singular Integrals with Flag Kernels
Let s1, s2 E (-1, 1) and s = (s1, s2). In this paper, the author introduces the Besov space Bspqq(R2) with p, q q [1, 8] and the Triebel-Lizorkin space Fspqq(R2) with p E (1, 8) and q E (1, 8] associated to singular integrals with flag kernels. Some basic properties, including their dual spaces, some equivalent norm characterizations via Littlewood-Paley functions, lifting properties and some embedding theorems, on these spaces are given. Moreover, the au thor obtains the boundedness of flag singular integrals and fractional integrals on these spaces.
