Triangular CesA ro summability of two dimensional Fourier series

被引：8
作者：
Weisz, F. [1 ]
机构：
[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2011年 / 132卷 / 1-2期
关键词：
Hardy space; p-atom; interpolation; Fourier series; triangular summation; Cesaro summability; CONVERGENCE;
D O I：
10.1007/s10474-011-0095-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the maximal operator of the triangular CesA ro means of a two-dimensional Fourier series is bounded from the periodic Hardy space H(p)(T(2)) to L(p)(T(2)) for all 2/(2+alpha)< pa parts per thousand broken vertical bar a and, consequently, is of weak type (1,1). As a consequence we obtain that the triangular CesA ro means of a function f epsilon L(1) (T(2)) converge a.e. to f.
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收藏
页码：27 / 41
页数：15
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