Weighted Tent Spaces | Zendy

Soria Javier | Zendy

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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.

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