Let \((X,\mathfrak M,\mu )\) be a positive measure space. Let \(\psi \in L^2(\mu )\cap L^\infty (\mu )\). Show that \(\psi \in L^p(\mu )\) for all \(p\ge 2\).
Question
Math 6210 • Real Analysis
Fall 1994 • Question 2
Question
Fall 1994 • Question 2
Let \((X,\mathfrak M,\mu )\) be a positive measure space. Let \(\psi \in L^2(\mu )\cap L^\infty (\mu )\). Show that \(\psi \in L^p(\mu )\) for all \(p\ge 2\).