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A Note on the Carleson‐Hunt Theorem
Author(s) -
Trinidad Menárguez M.
Publication year - 1999
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.3212080108
Subject(s) - mathematics , almost everywhere , fourier series , characterization (materials science) , type (biology) , pure mathematics , convergence (economics) , series (stratigraphy) , discrete mathematics , mathematical analysis , ecology , paleontology , materials science , economic growth , economics , biology , nanotechnology
We present a characterization of the almost everywhere convergence of the partial Fourier series of functions in L p (T), 1 < p < ∞, in terms of a discrete weak‐type inequality.
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