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The Harmonic Bloch and Besov Spaces on the Real Unit Ball by an Oscillation
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نویسنده
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fu x. ,xu z. ,liu x.
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منبع
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journal of function spaces - 2016 - دوره : 2016 - شماره : 0
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چکیده
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Let b be the real unit ball in r n and f c n (b). given a multi-index m = (m 1,.,m n) of nonnegative integers with | m | = n,we set the quantity s u p x b,y e (x,r),x ≠ y (1 - | x | 2) α (1 - | y | 2) β | ∂ m f (x) - ∂ m f (y) | / | x - y | γ [ x,y ] 1 - γ,x ≠ y,where 0 ≤ γ ≤ 1 and α + β = n + 1. in terms of it,we characterize harmonic bloch and besov spaces on the real unit ball. this generalizes the main results of yoneda,2002,into real harmonic setting. © 2016 xi fu et al.
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آدرس
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department of mathematics,shaoxing university,shaoxing,zhejiang, China, department of mathematics,jiangxi vocational college of industry and engineering,pingxiang,jiangxi, China, school of mathematics and physics,university of south china,hengyang,hunan, China
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Authors
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