Fourier coefficients of piecewise-monotone functions of several variables

被引：0

作者：

Dyachenko, MI

机构：

来源：

IZVESTIYA MATHEMATICS | 1998年 / 62卷 / 02期

关键词：

D O I：

10.1070/IM1998v062n02ABEH000172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As the main result of this paper we obtain the best possible estimates for the Hardy-Littlewood sums of the Fourier coefficients of piecewise-monotone functions in the spaces L-p([-pi, pi)(m)), where 2 < p < 2 + 1/m-1.

引用

页码：247 / 259

页数：13

共 50 条

[1] Fourier transform of piecewise monotone functions of many variables
D'yachenko, MI
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1998, (03): : 25 - 38
[2] CO-APPROXIMATION OF PIECEWISE-MONOTONE FUNCTIONS BY POLYNOMIALS
SHVEDOV, AS
[J]. MATHEMATICAL NOTES, 1981, 30 (5-6) : 920 - 924
[3] FOURIER INVERSION FOR PIECEWISE-SMOOTH FUNCTIONS IN SEVERAL VARIABLES
PINSKY, MA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (03) : 903 - 910
[4] Fourier's coefficients of piecewise monotone functions of the class Lip (alpha,p)
Mulgachov, MP
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1997, (05): : 3 - 7
[5] The problem of the pointwise Fourier inversion for piecewise smooth functions of several variables
Borovikov, WA
Mendoza, FJ
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2002, 8 (04) : 399 - 406
[6] The problem of the pointwise Fourier inversion for piecewise smooth functions of several variables
Borovikov V.A.
Mendoza F.J.
[J]. Journal of Fourier Analysis and Applications, 2002, 8 (4) : 399 - 406
[7] ON THE SPECTRAL DECOMPOSITION FOR PIECEWISE-MONOTONE MAPS OF SEGMENTS
BLOKH, AM
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1983, 37 (03) : 198 - 199
[8] Functions with general monotone Fourier coefficients
Belov, A. S.
Dyachenko, M., I
Tikhonov, S. Yu
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (06) : 951 - 1017
[9] General monotone functions and their Fourier coefficients
Booton, Barry
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (02) : 805 - 823
[10] On the discontinuities of monotone functions of several variables
Young, WH
Young, GC
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1924, 22 : 124 - 142

← 1 2 3 4 5 →