L" Lp, p e" 1, f : ([0, 1], B[0,1]) R
1Q,
sin(2Ä„x),
|x - 1/2|.
L2([0, 1], B[0,1], l[0,1]) :
1A, 1B , A, B " B[0,1],
x - 1/2, |x - 1/2| .
L2([0, 1], l[0,1])
0.
Lp(R, BR, l), Lq(R, BR, l), 1 d" p < q < ",
(&!, F, µ) p, q
1 1
+ = 1, Ć " Lq(&!, F, µ)
p q
IĆ : Lp(&!, F, µ) R

IĆ(f) = Ćfdµ
&!
µ (&!, F).
P : L"(&!, F) R

P (f) := log exp(-f(x))µ(dx)
&!
L"(&!, F).