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ArticleOriginal scientific text

Title

Triebel-Lizorkin spaces on spaces of homogeneous type

Authors 1, 2

Affiliations

  1. University if Windsor, Windsor, Ontario, N9B 3P4, Canada
  2. Department of Mathematics, Auburn University, Auburn, Alabama 36849-5310, U.S.A.

Abstract

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 p0<p≤1≤q<∞, 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].

Keywords

ENG
spaces of homogeneous type, Hp and Triebel-Lizorkin spaces, Littlewood-Paley S-function, atomic decomposition

Bibliography

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Studia Mathematica
1994/108/3
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Pages:
247-273
Main language of publication
English
Received
1993-02-06
Accepted
1993-09-08
Published
1994
Exact and natural sciences