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On dual spaces of anisotropic Hardy spaces
Author(s) -
Dekel Shai,
Weissblat Tal
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100329
Subject(s) - mathematics , ellipsoid , hardy space , anisotropy , dual (grammatical number) , type (biology) , point (geometry) , mathematical analysis , pure mathematics , combinatorics , geometry , physics , optics , philosophy , linguistics , ecology , astronomy , biology
In this paper we generalize the analysis of the Campanato‐type dual spaces 1, 3, for the highly anisotropic Hardy spaces on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^n$\end{document} introduced in 10. These Hardy spaces are constructed over multi‐level ellipsoid covers of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^n$\end{document} , where the ellipsoids can change shape rapidly from point to point and from level to level.