The multipliers of multiple trigonometric Fourier series
We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier series from Lp[0; 1]n to Lq[0; 1]n , p > q...
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De Gruyter
2016-11-01
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| Series: | Open Engineering |
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| Online Access: | http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0046/eng-2016-0046.xml?format=INT |
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doaj-0b53950cddaf4b51b1586882de4733f72020-11-24T21:32:57ZengDe GruyterOpen Engineering2391-54392016-11-016110.1515/eng-2016-0046eng-2016-0046The multipliers of multiple trigonometric Fourier seriesYdyrys Aizhan0Sarybekova Lyazzat1Tleukhanova Nazerke2Department of Fundamental Mathematics, L.N.Gumilyov Eurasian National University, Astana, 010000, KazakhstanSchool of Mathematics and Cybernetics, Kazakh-British Technical University, Almaty, 050000, KazakhstanDepartment of Fundamental Mathematics, L.N.Gumilyov Eurasian National University, Astana, 010000, KazakhstanWe study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier series from Lp[0; 1]n to Lq[0; 1]n , p > q. These conditions include conditions Lizorkin theorem on multipliers.http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0046/eng-2016-0046.xml?format=INTmultiplier multiple Fourier series Lizorkin theoremLorentz space |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ydyrys Aizhan Sarybekova Lyazzat Tleukhanova Nazerke |
| spellingShingle |
Ydyrys Aizhan Sarybekova Lyazzat Tleukhanova Nazerke The multipliers of multiple trigonometric Fourier series Open Engineering multiplier multiple Fourier series Lizorkin theorem Lorentz space |
| author_facet |
Ydyrys Aizhan Sarybekova Lyazzat Tleukhanova Nazerke |
| author_sort |
Ydyrys Aizhan |
| title |
The multipliers of multiple trigonometric Fourier
series |
| title_short |
The multipliers of multiple trigonometric Fourier
series |
| title_full |
The multipliers of multiple trigonometric Fourier
series |
| title_fullStr |
The multipliers of multiple trigonometric Fourier
series |
| title_full_unstemmed |
The multipliers of multiple trigonometric Fourier
series |
| title_sort |
multipliers of multiple trigonometric fourier
series |
| publisher |
De Gruyter |
| series |
Open Engineering |
| issn |
2391-5439 |
| publishDate |
2016-11-01 |
| description |
We study the multipliers of multiple Fourier series
for a regular system on anisotropic Lorentz spaces.
In particular, the sufficient conditions for a sequence of
complex numbers {λk}k∈Zn in order to make it a multiplier
of multiple trigonometric Fourier series from Lp[0; 1]n to
Lq[0; 1]n , p > q. These conditions include conditions Lizorkin
theorem on multipliers. |
| topic |
multiplier multiple Fourier series Lizorkin theorem Lorentz space |
| url |
http://www.degruyter.com/view/j/eng.2016.6.issue-1/eng-2016-0046/eng-2016-0046.xml?format=INT |
| work_keys_str_mv |
AT ydyrysaizhan themultipliersofmultipletrigonometricfourierseries AT sarybekovalyazzat themultipliersofmultipletrigonometricfourierseries AT tleukhanovanazerke themultipliersofmultipletrigonometricfourierseries AT ydyrysaizhan multipliersofmultipletrigonometricfourierseries AT sarybekovalyazzat multipliersofmultipletrigonometricfourierseries AT tleukhanovanazerke multipliersofmultipletrigonometricfourierseries |
| _version_ |
1725955537241112576 |