Zobrazeno 1 - 7 of 7 pro vyhledávání: '"Artsrun Sargsyan"'
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On the structure of universal functions for classes $L^{p}[0,1)^{2},p\in (0,1)$ , with respect to the double Walsh system
Autor: M. G. Grigoryan, Artsrun Sargsyan
Publikováno v: Banach J. Math. Anal. 13, no. 3 (2019), 647-674
We address questions on the existence and structure of universal functions for classes $L^{p}[0,1)^{2}$ , $p\in (0,1)$ , with respect to the double Walsh system. It is shown that there exists a measurable set $E\subset [0,1)^{2}$ with measure arbitra
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95ac5ac9dc004274f1f81dfb4b46ad74
https://doi.org/10.1215/17358787-2019-0015
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3
Universal functions for classes $$L^p[0,1)^2$$ L p [ 0 , 1 ) 2 , $$p\in (0,1)$$ p ∈ ( 0 , 1 ) , with respect to the double Walsh system
Autor: Artsrun Sargsyan, M. G. Grigoryan
Publikováno v: Positivity. 23:1261-1280
In the paper it is shown that there exists a function $$U\in L^1[0,1)^2$$ , which is universal for all class $$L^{p}[0,1)^2$$ , $$p\in (0,1)$$ , by rectangles and by spheres with respect to the double Walsh system in the sense of signs of Fourier coe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::78d69d85c9892e46baf368da6a008e1c
https://doi.org/10.1007/s11117-019-00663-7
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4
On the universal function for weighted spaces $L^{p}_{\mu}[0,1]$ , $p\geq 1$
Autor: M. G. Grigoryan, Artsrun Sargsyan, Tigran Grigoryan
Publikováno v: Banach J. Math. Anal. 12, no. 1 (2018), 104-125
In this article, we show that there exist a function $g\in L^{1}[0,1]$ and a weight function $0\lt \mu(x)\leq1$ so that $g$ is universal for each class $L^{p}_{\mu}[0,1]$ , $p\geq 1$ , with respect to signs-subseries of its Fourier–Walsh series.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4e02a6b1e622c636ee55e0bab36e4cb
https://doi.org/10.1215/17358787-2017-0044
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