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Results tagged with fa.functional-analysis
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user 507158
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
0
answers
129
views
Compact embedding for the space $H^1(0,+\infty)$
It is well known that $H^1(I)$ is compactly embedded in $C(I)$ where $I$ is bounded interval of $\mathbb{R}$, which is not correct for $I$ unbounded.
So, I search about a functional space $Y$ such tha …
- 29
0
votes
0
answers
127
views
Compact embedding of $H^1(0,+\infty)$
Is the following embedding compact ?
$$H^1(0,+\infty) \rightarrow L^p(0,+\infty), \text{ with } p>1 $$
- 29