Universal function for a weighted space Lμ1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$L^1_{mu }[0,1]$$end{

Universal function for a weighted space Lμ1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$L^1_{mu }[0,1]$$end{
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加权空间的通用函数 Lμ1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{文档}$$L^1_{mu }[0,1]$$end{

DOI:
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发表时间:
2017
期刊:
Positivity (Dordrecht)
影响因子:
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通讯作者:
M. Grigoryan
M. Grigoryan
中科院分区:
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文献类型:
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作者:
A. Sargsyan;M. Grigoryan

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It is shown that there exist such a function g∈L1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$gin L^1[0,1]$$end{document} and a weight function 0<μ(x)≤1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$0<mu (x)le 1$$end{document} that g is universal for the weighted space Lμ1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$L^1_mu [0,1]$$end{document} with respect to signs of its Fourier–Walsh coefficients.
It is shown that there exist such a function g∈L1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$gin L^1[0,1]$$end{document} and a weight function 0<μ(x)≤1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$0<mu (x)le 1$$end{document} that g is universal for the weighted space Lμ1[0,1]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$L^1_mu [0,1]$$end{document} with respect to signs of its Fourier–Walsh coefficients.