I need to prove that $L_q(\Omega) \subset L_p(\Omega)$ when $1\leq p \leq q \leq \infty$ when $\Omega$ is bounded. The hint given is that I should use Hölders inequality. How do I start my proof using this inequality?
2026-05-03 11:27:25.1777807645
Proof of $L_q(\Omega) \subset L_p(\Omega)$ when $1\leq p \leq q \leq \infty$
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