The general form of local bilinear functions
نویسندگان
چکیده
منابع مشابه
The Bilinear Maximal Functions
The bilinear maximal operator defined below maps L × L into L provided 1 < p, q <∞, 1/p+ 1/q = 1/r and 2/3 < r ≤ 1. Mfg(x) = sup t>0 1 2t ∫ t −t |f(x+ y)g(x− y)| dy In particular Mfg is integrable if f and, g are square integrable, answering a conjecture posed by Alberto Calderón. 1 Principal Results In 1964 Alberto Calderón defined a family of maximal operators by Mfg(x) = sup t>0 1 2t ∫ t −t ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1993
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1993.104541