Translation invariant linear operators and generalized functions
In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where , and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].
We study the representation of distributions (and ultradistributions of Beurling type) of Lp-growth, 1 ≤ p ≤ ∞, on RNas boundary values of holomorphic functions on (C R)N.