期刊论文详细信息
Сибирский математический журнал | |
Absolute Convergence of the Double Fourier-Franklin Series | |
article | |
G. G. Gevorkyan1  M. G. Grigoryan1  | |
[1] Yerevan State University | |
关键词: double Fourier series; Franklin system; absolute convergence; | |
DOI : 10.1134/S0037446620030039 | |
学科分类:数学(综合) | |
来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk | |
【 摘 要 】
We prove that, for every 0 1 − ϵ such that, for all f ∈ L1(T) and 0 < η < 1, we can find $$\tilde f \in {L^1}(T)$$ with $$\int\!\!\!\int_T {{\rm{|}}f(x,y) - \tilde f(x,y){\rm{|}}dxdy \le \eta } $$ coinciding with f(x, y) on E whose double Fourier-Franklin series converges absolutely to f almost everywhere on T.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202106300004621ZK.pdf | 179KB | download |