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UserA
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10
When is the set of measurable functions a vector space?
8
Show that for $|f_n| \le g_n$ $\forall n$: $\lim_{n\to \infty} {\int_E g_n } = \int_E g \Rightarrow \lim_{n\to \infty} {\int_E f_n } = \int_E f$
7
An alternate definition of Sobolev space $W^{1,p}(\Omega)$ when $1<p\leq\infty$ and consequences
7
Eigenvalues and eigenfunctions of the Laplace operator on entire plane
6
Is the embedding of $W^{2,p}$ onto $C^1(\overline{I})$ compact?