Let \((X,\mathcal M,\mu )\) be a measure space with \(\mu (X)<\infty \), and let \(1\le s<t\le \infty \). Show that \(L^t(X)\subset L^s(X)\).
Question
Math 6210 • Real Analysis
Fall 2016 • Question 1
Question
Fall 2016 • Question 1
Let \((X,\mathcal M,\mu )\) be a measure space with \(\mu (X)<\infty \), and let \(1\le s<t\le \infty \). Show that \(L^t(X)\subset L^s(X)\).