Need help with the following:
Show that $\displaystyle (L_p(E) \cap L_{\infty}(E)) \subset L_q $ if $\displaystyle 1 \leq p < q < \infty$.
(I am talking about Lebesgue spaces as in here: Lp space - Wikipedia, the free encyclopedia)
Thanks!
Need help with the following:
Show that $\displaystyle (L_p(E) \cap L_{\infty}(E)) \subset L_q $ if $\displaystyle 1 \leq p < q < \infty$.
(I am talking about Lebesgue spaces as in here: Lp space - Wikipedia, the free encyclopedia)
Thanks!