Strong Summability with Weights for Cesàro Operator on n- Sphere
Received:September 03, 2001  
Key Words: spherical harmonic   Cesàro operator   weight coefficient   strong summability with weights.  
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Author NameAffiliation
HONG Yong Dept. of Math.
Guangdong Business College
Guangzhou
China 
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Abstract:
      Let 1(n-1)/p-n/2,f∈Lpn) and let σδN(f)(x), de-note Cesàro means of f(x) on n-sphere. It is proved that(?) where the weight coefficients ak satisfy ak≥0 and (?)( A is an absolute con- stant).
Citation:
DOI:10.3770/j.issn:1000-341X.2004.03.014
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