{"url":"https://randommemory.hatenablog.com/entry/2019/01/15/210454","title":"Sobolev\u7a7a\u9593\u306e3\u3064\u306e\u30ce\u30eb\u30e0","width":"100%","type":"rich","provider_url":"https://hatena.blog","height":"190","categories":["machine_learning","math-functional"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_name":"derwind","published":"2019-01-15 21:04:54","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2019%2F01%2F15%2F210454\" title=\"Sobolev\u7a7a\u9593\u306e3\u3064\u306e\u30ce\u30eb\u30e0 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_url":"https://randommemory.hatenablog.com/","description":"\u51fd\u6570\u7a7a\u9593 \\begin{equation} H^1[0,1] = \\left\\{\\, f \\in L^2[0,1] \\,\\big|\\,\\, f \\text{: absolutely continuous},\\ f^\\prime \\in L^2[0,1] \\right\\} \\end{equation}\u4e0a\u306e3\u3064\u306e\u30ce\u30eb\u30e0\u3092\u8003\u3048\u308b\u3002\u307e\u305a\u6700\u521d\u306b \\begin{equation} \\|\\,f\\| = \\left( \\int_0^1 |\\, f(t)|^2 dt + \\int_0^1 |\\, f^\\prime(t)|^2 dt \\right)^{1/2} \\end{equation}\u3068\u3001 \\begin{al\u2026","author_url":"https://blog.hatena.ne.jp/derwind/","image_url":null,"provider_name":"Hatena Blog","version":"1.0"}