[分析] 實變 Royden 裡面的習題
p79
1.Does the Bounded Convergence Thm hold if m(E)<∞ but we drop the assumption
that the sequence {lfnl} is uniformly bounded on E ?
p89
2.For a measurable function f on [1,∞) which is bounded on bounded sets,
n+1
define an=∫n f for each natural number n
∞
Is it true that f is integrable over [1,∞) iff the series Σn=1 an converge
∞
Is it true that f is integrable over [1,∞) iff the series Σn=1 an
converge absolutely?
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