Divergence of the Bochner-Riesz means in the weighted Hardy spaces

被引：0

作者：

Sato, S

机构：

来源：

STUDIA MATHEMATICA | 1996年 / 118卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We costruct functions in H-w(1) (w is an element of A(1)) whose Fourier integral expansions are almost everywhere non-summable with respect to the Bochner-Riesz means of the critical order.

引用

页码：261 / 275

页数：15

共 14 条

[1] [Anonymous], 1981, Rend. Circ. Mat. Palermo
[2] AYGMUND A, 1968, TRIGONOMETRIC SERIES
[3] Bochner S, 1936, T AM MATH SOC, V40, P175
[4] HARDY KGH, 1954, INTRO THEORY NUMBERS
[5] KORNER TW, 1981, C MATH, V45, P103, DOI 10.4064/cm-45-1-103-118
[6] SPHERICAL SUMMABILITY AND A VECTOR-VALUED INEQUALITY
SATO, S
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1995, 27 : 58 - 64
[7] A WEIGHTED VECTOR-VALUED WEAK TYPE (1, 1) INEQUALITY AND SPHERICAL SUMMATION
SATO, S
[J]. STUDIA MATHEMATICA, 1994, 109 (02) : 159 - 170
[8] SATO S, IN PRESS ARK MAT
[9] SATO S, 1995, SOME WEIGHTED WEAK T
[10] STEIN E. M., 1971, INTRO FOURIER ANAL E, V32

← 1 2 →