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Subjects
46-XX Functional analysis
46Fxx Distributions, generalized functions, distribution spaces
46F05 Topological linear spaces of test functions, distributions and ultradistributions

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Translation invariant linear operators and generalized functions

Charles W. Swartz (1975)

Czechoslovak Mathematical Journal

Translation-Invariant Linear Forms on D(G).

David L. Johnson (1980)

Mathematische Annalen

Triebel-Lizorkin spaces on spaces of homogeneous type

Y.-S. Han (1994)

Studia Mathematica

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 $p_{0} < p \leq 1 \leq q < \infty$ , 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].

Currently displaying 21 – 23 of 23

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