Question

Local martingale: how is $\sup_{s \in[0, t]}\left|M_s\right|$ measurable?

score 75 · Answer 1 · 2026-02-23 10:04:42

75

Views

Local martingale: how is $\sup_{s \in[0, t]}\left|M_s\right|$ measurable?

Published on 23 Feb 2026 - 10:04

score 128 · Answer 2 · 2026-03-28 23:59:12

128

Views

Exercise 21 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 28 Mar 2026 - 23:59

score 98 · Answer 3 · 2026-03-29 05:43:37

98

Views

Existence of "induced measure" on fibers of a measurable function between measure spaces?

Published on 29 Mar 2026 - 5:43

score 33 · Answer 4 · 2023-03-21 12:44:31

33

Views

Monotone Class Theorem and Stone-Weierstrass

Published on 21 Mar 2023 - 12:44

score 24 · Answer 5 · 2026-03-27 21:35:39

24

Views

Borel measurability of operator-valued map

Published on 27 Mar 2026 - 21:35

score 43 · Answer 6 · 2023-03-30 20:21:43

43

Views

Stitching together probability spaces and measurable functions

Published on 30 Mar 2023 - 20:21

score 22 · Answer 7 · 2023-04-01 03:46:32

22

Views

Sequence of set defined on measurable function

Published on 01 Apr 2023 - 3:46

score 80 · Answer 8 · 2023-04-01 19:20:47

80

Views

Is this sufficient to conclude $L^{1}$ convergence?

Published on 01 Apr 2023 - 19:20

score 156 · Answer 9 · 2023-04-03 03:41:06

156

Views

Exercise 27 on p.40 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler.

Published on 03 Apr 2023 - 3:41

score 133 · Answer 10 · 2023-04-03 05:30:14

133

Views

Are harmonic functions measurable for the invariant sigma-algebra?

Published on 03 Apr 2023 - 5:30

score 105 · Answer 11 · 2023-04-03 15:40:29

105

Views

Every $\mu$-measurable function $f$ s.t. $|f(x)|<\infty, \mu$-a.e. is a limit of a sequence of continuous functions outside a set of measure zero

Published on 03 Apr 2023 - 15:40

score 94 · Answer 12 · 2023-04-03 17:42:02

94

Views

Brezis' Exercise 4.10.3: can we pick such a measurable $u_n$?

Published on 03 Apr 2023 - 17:42

score 106 · Answer 13 · 2023-04-03 22:37:06

106

Views

How does one prove that partial functions of measurable functions of 2 var. are nearly all measurable?

Published on 03 Apr 2023 - 22:37

score 29 · Answer 14 · 2023-04-04 09:41:31

29

Views

Showing that $\mu(\limsup_{n\to\infty}f^{-n}(A)\setminus A) = 0$ if $\mu(A)=\mu(f^{-1}(A)),\mu(A\setminus f^{-1}(A))=0$ and $\mu$ is finite

Published on 04 Apr 2023 - 9:41

score 122 · Answer 15 · 2023-04-04 22:27:46

122

Views

Approximating a simple function by a step function almost everywhere

Published on 04 Apr 2023 - 22:27

List Question

Local martingale: how is $\sup_{s \in[0, t]}\left|M_s\right|$ measurable?

Exercise 21 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Existence of "induced measure" on fibers of a measurable function between measure spaces?

Monotone Class Theorem and Stone-Weierstrass

Borel measurability of operator-valued map

Stitching together probability spaces and measurable functions

Sequence of set defined on measurable function

Is this sufficient to conclude $L^{1}$ convergence?

Exercise 27 on p.40 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler.

Are harmonic functions measurable for the invariant sigma-algebra?

Every $\mu$-measurable function $f$ s.t. $|f(x)|<\infty, \mu$-a.e. is a limit of a sequence of continuous functions outside a set of measure zero

Brezis' Exercise 4.10.3: can we pick such a measurable $u_n$?

How does one prove that partial functions of measurable functions of 2 var. are nearly all measurable?

Showing that $\mu(\limsup_{n\to\infty}f^{-n}(A)\setminus A) = 0$ if $\mu(A)=\mu(f^{-1}(A)),\mu(A\setminus f^{-1}(A))=0$ and $\mu$ is finite

Approximating a simple function by a step function almost everywhere

Trending Questions

Popular # Hahtags

Popular Questions