5. Suppose f E L'(R²) is real-valued. Show that there exists a measurable set EC R? such that fdm2. | fdm2 = Jr?\E°

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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5. Suppose f e L'(R²) is real-valued. Show that there exists a measurable
set E C R² such that
| fdm2
L fdm2.
E
R2\E
Transcribed Image Text:5. Suppose f e L'(R²) is real-valued. Show that there exists a measurable set E C R² such that | fdm2 L fdm2. E R2\E
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