Optimality for $L^p$
108816
$L^p$ integrable but not $L^q$ integrable
42938
Lipschitz Condition and Optimization
26126
$f \in L^1$, but $f \not\in L^p$ for all $p > 1$
89468
Space Sobolev $W^{m,p}$ complete
43553
Which is optimal?
29114
If $f \in L^{p_1}(E) $ is bounded then $f\in L^{p_2}$ for any $p_2>p_1$
14448
Elementary proof that $|x|^p$ is convex.
102079
If $1\leq p < \infty$ then show that $L^p([0,1])$ and $\ell_p$ are not topologically isomorphic
81112
Proving that the dual of the $\mathcal{l}_p$ norm is the $\mathcal{l}_q$ norm.
64239
Upper Bound for $p(1-p) $ where $0 \le p \le 1$
67851
Does $|x|^p$ with $0<p<1$ satisfy the triangle inequality on $\mathbb{R}$?
62971
About smooth approximation in a Sobolev space
129399
Maximum module principle
138317
weak convergence in $l^p$ implies bounded and pointwise convergence
139342
$L^p$ submartingale convergence theorem
136916
Convergence in measure implies convergence in $L^p$ under the hypothesis of domination
9613
If $f_k \to f$ a.e. and the $L^p$ norms converge, then $f_k \to f$ in $L^p$