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Weighted Tent Spaces
Author(s) -
Soria Javier
Publication year - 1992
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.19921550117
Subject(s) - mathematics , class (philosophy) , interpolation (computer graphics) , dual (grammatical number) , pure mathematics , operator (biology) , interpolation space , inequality , function (biology) , decomposition , mathematical analysis , functional analysis , artificial intelligence , computer science , art , ecology , biochemistry , chemistry , literature , repressor , biology , transcription factor , gene , evolutionary biology , motion (physics)
We generalize the theory of tent spaces introduced in [9] and [10], to consider weighted norms related to some function parameters (see [11]). We study their atomic decomposition, from which we obtain a weighted inequality for a certain fractional maximal operator. We also find the dual spaces, and get a new class of C ARLESON measures and we identify the intermediate spaces when using several methods of interpolation.