“Compactly” supported frames for spaces of distributions on the ball
“Compactly” supported frames for spaces of distributions on the ball
复制标题
球上分布空间的“紧凑”支撑框架
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
P. Petrushev
中科院分区：
文献类型：
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作者：
G. Kyriazis;P. Petrushev
Frames are constructed on the unit ball Bd in documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${mathbb{R}^d}$$end{document} consisting of smooth functions with small shrinking supports. The new frames are designed so that they can be used for decomposition of weighted Triebel–Lizorkin and Besov spaces on Bd with weight documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${w_mu(x):=(1-|x|^2)^{mu-1/2}, mu}$$end{document} half integer, μ ≥ 0.
Frames are constructed on the unit ball Bd in documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${mathbb{R}^d}$$end{document} consisting of smooth functions with small shrinking supports. The new frames are designed so that they can be used for decomposition of weighted Triebel–Lizorkin and Besov spaces on Bd with weight documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${w_mu(x):=(1-|x|^2)^{mu-1/2}, mu}$$end{document} half integer, μ ≥ 0.