Open AccessKaitan Antara Ruang Sobolev dan Ruang Lebesgue
Author(s) -
Pipit Pratiwi Rahayu
Publication year - 2017
Publication title -
jurnal fourier/jurnal fourier
Language(s) - English
Resource type - Journals
eISSN - 2541-5239
pISSN - 2252-763X
DOI - 10.14421/fourier.2017.61.21-26
Subject(s) - sobolev space , lebesgue integration , mathematics , standard probability space , lp space , function space , mathematical analysis , space (punctuation) , pure mathematics , norm (philosophy) , interpolation space , banach space , functional analysis , computer science , biochemistry , chemistry , law , political science , gene , operating system
Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness. Sobolev space is subset of Lebesgue space, its mean if we have a function that element of Sobolev Space then its element of Lebesgue space. But the converse of this condition is not applicable. In this research, we will give an example to shows that there is a function element of Lebesgue space but not element of Sobolev space