Approximation of Hardy space on the unit sphere
【摘 要】
：
The authors discuss the boundedness and approximation properties of translation and mean operator on H 1(S ) by the estimates of high degree difference on ultra
【机 构】
：
School of Computer, Wuhan University, Wuhan 430072, China,School of Computer, Wuhan University, Wuha
【出 处】
：
Science in China(Series F:Information Sciences)
【发表日期】
：
2003年04期
论文部分内容阅读
The authors discuss the boundedness and approximation properties of translation and mean operator on H 1(S ) by the estimates of high degree difference on ultraspherical polynomials, atom de- composition and construct properties on sphere. Also the boundedness and approximation of linear means at all kinds of indexes on H p(0 < p < 1) and the almost everywhere convergence of Cesro means are established.
The authors discuss the boundedness and approximation properties of translation and mean operator on H 1 (S) by the estimates of high degree difference on ultraspherical polynomials, atom de- composition and construct properties on sphere. Also the boundedness and approximation of linear means at all kinds of indexes on H p (0
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