Bilinear spherical maximal function
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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The bilinear maximal operator de ned below maps L L into L provided 1 < p; q <1, 1=p+ 1=q = 1=r and 2=3 < r 1. Mfg(x) = sup t>0 1 2t Z t t jf(x+ y)g(x y)j dy In particular Mfg is integrable(!) if f and, g are square integrable, answering a conjecture posed by Alberto Calder on. 1 Principal Results In 1964 Alberto Calder on de ned the maximal operator Mfg(x) = sup t>0 1 2t Z t t jf(x y)g(x y)j d...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2018
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2018.v25.n5.a1