Let (2, F,µ) be a measure space. (a). Let A, B E F such that A C B. Prove that u(A) sH(B). (b) Let A1, A2, - EF be a sequence of measurable sets. Prove that ... +o0 (UAn)
Let (2, F,µ) be a measure space. (a). Let A, B E F such that A C B. Prove that u(A) sH(B). (b) Let A1, A2, - EF be a sequence of measurable sets. Prove that ... +o0 (UAn)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let (2, F,µ) be a measure space.
(a)
Let A, B E F such that A C B. Prove that p(A) < µ(B).
(b)
Let A1, A2, · .. EF be a sequence of measurable sets. Prove that
+o0
H(U An)<H(An) .
n%3D1
n=1
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