排序方式: 共有51条查询结果,搜索用时 15 毫秒
1.
U. Goginava 《分析论及其应用》2007,23(3):255-265
In this paper we prove that iff ∈ C([-π,π]2) and the function f is bounded partial p-variation for some p ∈ [1, ∞), then the double trigonometric Fourier series of a function f is uniformly (C;-α,-β) summable (α β< 1/p,α,β> 0) in the sense of Pringsheim. If α β≥ 1/p, then there exists a continuous function f0 of bounded partial double trigonometric Fourier series of fo diverge over cubes. 相似文献
2.
Ushangi Goginava 《Analysis Mathematica》2004,30(4):289-304
We investigate approximation properties of Cesàro (C; −α, −β)-means of double Walsh-Fourier series with α, β ∈ (0, 1). As an application, we obtain a sufficient condition for the convergence of the means σ
n,m
/−α,−β
(f; x, y) to f(x,y) in the L
p
-metric, p ∈ [1, ∞]. We also show that this sufficient condition cannot be improved. 相似文献
3.
Ushahgi Goginava 《分析论及其应用》2010,(4)
The main aim of this paper is to prove that the maximal operator σ # is not bounded from the martingale Hardy space Hp (G) to the martingale Hardy space Hp (G) for 0 < p ≤ 1. 相似文献
4.
Zhizhiashvili studied questions associated with the approximation properties of Cesàro means of trigonometric Fourier series for functions of two variables in the spaces H. It is proved here that the corresponding estimate cannot be improved for p = 1 or p = . 相似文献
5.
U. Goginava 《Acta Mathematica Hungarica》2001,93(1-2):59-70
We study the uniform convergence of Walsh-Fourier series of functions on the generalized Wiener class BV (p(n)↑∞)
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
6.
Ushangi Goginava 《Journal of Mathematical Analysis and Applications》2003,287(1):90-100
We prove that for the N-dimensional Walsh-Fourier series the maximal operator of the Marcinkiewicz means is of weak type (1,1). Moreover, the Marcinkiewicz means σnf of the function f∈L1 converge a.e. to f as n→∞. 相似文献
7.
U. Goginava 《Ukrainian Mathematical Journal》2005,57(11):1818-1824
In this paper, a necessary and sufficient condition for the inclusion of the class ΛBV in the class H
p
ω
is found.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1557–1562, November, 2005. 相似文献
8.
Ushangi Goginava 《Journal of Mathematical Analysis and Applications》2005,307(1):206-218
The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space Hp,q into the Lorentz space Lp,q. 相似文献
9.
G. GAT U. GOGINAVA 《数学学报(英文版)》2006,22(2):497-506
The (NSrlund) logarithmic means of the Fourier series of the integrable function f is:
1/lnn-1∑k=1Sk(f)/n-k, where ln:=n-1∑k=11/k.
In this paper we discuss some convergence and divergence properties of this logarithmic means of the Walsh-Fourier series of functions in the uniform, and in the L^1 Lebesgue norm. Among others, as an application of our divergence results we give a negative answer to a question of Móricz concerning the convergence of logarithmic means in norm. 相似文献
10.
In this paper, we study the a.e. exponential strong summability problem for the rectangular partial sums of double trigonometric Fourier series of functions in L logL. 相似文献