Show that the condition lim {x D: fn(x) = f(x) > 0} = 0 818...

Transcribed Image Text:

Show that the condition lim μ{x € D: fn(x) = f(x) > 0} = 0 818 implies that fn f on D. (b) Show that the converse is not true. (c) Show that the condition in (a) implies that for a.e. xD we have fn(x) = f(x) for infinitely many n € N. Show that the condition lim μ{x € D: fn(x) = f(x) > 0} = 0 818 implies that fn f on D. (b) Show that the converse is not true. (c) Show that the condition in (a) implies that for a.e. xD we have fn(x) = f(x) for infinitely many n € N.

Answer rating: 100% (QA)

The detailed ... View the full answer