Let be one dimensional Lebesgue measure Show that for every integrable function u u , the integral function or primitive is continuous What happens if we exchange for a general measure XH (0,x) u(t)X(dt), x 0,...

Let u be an arbitrary Borel measure on the line R and de ...

Let be one-dimensional Lebesgue measure. Show that for every integrable function u u , the

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Let $λ$ be one-dimensional Lebesgue measure. Show that for every integrable function $u$ , the integral function or primitive

XH (0,x) u(t)X(dt), x>0,

is continuous. What happens if we exchange $λ$ for a general measure $μ$ ?

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:03 AM

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Let be one-dimensional Lebesgue measure. Show that for every integrable function u u , the

Question:

XH (0,x) u(t)X(dt), x>0,

Step by Step Answer:

Let u be an arbitrary Borel measure on the line R and de...View the full answer

Measures Integrals And Martingales

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