Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 208, Issue 2, Pages 377-422Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-1236(03)00181-2
Keywords
Carleson measures; Hausdorff capacity; tent spaces; duality; atomic decomposition; Q alpha(R-n) spaces; BMO; Hardy spaces; Sobolev spaces; Choquet integrals
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Several duality questions for fractional Carleson measures and the spaces Q(alpha)(R-n) are resolved using a new type of tent spaces. These tent spaces are defined in terms of Choquet integrals with respect to Hausdorff capacity. A predual for Q(alpha)(R-n) is then defined as a space of distributions containing the Hardy space H-1, and an atomic decomposition is proved. (C) 2003 Elsevier Inc. All rights reserved.
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