Question

Sequence of Lipschitz maps that converge pointwise to a Lipscthiz functions must have bounded Lipschitz constants?

score 56 · Answer 1 · 2026-04-14 20:49:13

56

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Sequence of Lipschitz maps that converge pointwise to a Lipscthiz functions must have bounded Lipschitz constants?

Published on 14 Apr 2026 - 20:49

score 70 · Answer 2 · 2026-04-13 23:07:04

70

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Almost uniform convergence on an open set, pointwise convergence on a closed set and an equality of a limit of an integral of the sequence to examine.

Published on 13 Apr 2026 - 23:07

score 68 · Answer 3 · 2026-04-13 09:06:02

68

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Convergence of $e^{ix_nt}$ implying convergence of $x_n$

Published on 13 Apr 2026 - 9:06

score 141 · Answer 4 · 2026-04-14 05:24:39

141

Views

Uniform convergence of a series of functions (M-test)

Published on 14 Apr 2026 - 5:24

score 43 · Answer 5 · 2026-04-16 01:16:28

43

Views

If $X_n(\omega )\overset{L^2}{\rightarrow}X(\omega )$ and g(x) is continuous and bounded so $g(X_n(\omega ))\overset{a.s.}{\rightarrow}g(X(\omega ))$

Published on 16 Apr 2026 - 1:16

score 91 · Answer 6 · 2026-04-12 04:00:03

91

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Point wise convergence does not imply convergence in $L^p$ -example-

Published on 12 Apr 2026 - 4:00

score 47 · Answer 7 · 2026-04-10 17:04:12

47

Views

Proof of the existence of minimal stopping times

Published on 10 Apr 2026 - 17:04

score 103 · Answer 8 · 2026-04-12 06:44:06

103

Views

I have to show that this function is continuous

Published on 12 Apr 2026 - 6:44

score 29 · Answer 9 · 2026-04-13 03:51:50

29

Views

Norm convergence plus continuity imply pointwise convergence?

Published on 13 Apr 2026 - 3:51

score 116 · Answer 10 · 2026-04-17 09:24:03

116

Views

If $X_{n}\xrightarrow{\mathcal{P}}X$ and $X_{n}\xrightarrow{\mathcal{P}}Y$, does $X = Y$ almost surely?

Published on 17 Apr 2026 - 9:24

score 94 · Answer 11 · 2026-04-13 03:38:47

94

Views

Convergence of triangle function to a constant

Published on 13 Apr 2026 - 3:38

score 51 · Answer 12 · 2026-04-16 00:54:57

51

Views

Let $f_n \to f$ pointwise. Are there $\varepsilon, N>0$ such that $|f_n (x)| \le |f (x)| + \varepsilon$ for all $n \ge N$ and $x \in X$?

Published on 16 Apr 2026 - 0:54

score 98 · Answer 13 · 2026-04-11 14:28:21

98

Views

When a function having the Darboux Property represents a function of baire class one?

Published on 11 Apr 2026 - 14:28

score 110 · Answer 14 · 2026-04-14 03:44:35

110

Views

An equicontinuous sequence of functions converging in $L^1$ converges pointwise a.e.

Published on 14 Apr 2026 - 3:44

score 60 · Answer 15 · 2026-04-16 15:57:17

60

Views

Prove $(f_n) = (n(\exp(x/n)−1))$ is pointwise convergent, pointwise bounded and equicontinuous on $[0,1]$

Published on 16 Apr 2026 - 15:57

List Question

Sequence of Lipschitz maps that converge pointwise to a Lipscthiz functions must have bounded Lipschitz constants?

Almost uniform convergence on an open set, pointwise convergence on a closed set and an equality of a limit of an integral of the sequence to examine.

Convergence of $e^{ix_nt}$ implying convergence of $x_n$

Uniform convergence of a series of functions (M-test)

If $X_n(\omega )\overset{L^2}{\rightarrow}X(\omega )$ and g(x) is continuous and bounded so $g(X_n(\omega ))\overset{a.s.}{\rightarrow}g(X(\omega ))$

Point wise convergence does not imply convergence in $L^p$ -example-

Proof of the existence of minimal stopping times

I have to show that this function is continuous

Norm convergence plus continuity imply pointwise convergence?

If $X_{n}\xrightarrow{\mathcal{P}}X$ and $X_{n}\xrightarrow{\mathcal{P}}Y$, does $X = Y$ almost surely?

Convergence of triangle function to a constant

Let $f_n \to f$ pointwise. Are there $\varepsilon, N>0$ such that $|f_n (x)| \le |f (x)| + \varepsilon$ for all $n \ge N$ and $x \in X$?

When a function having the Darboux Property represents a function of baire class one?

An equicontinuous sequence of functions converging in $L^1$ converges pointwise a.e.

Prove $(f_n) = (n(\exp(x/n)−1))$ is pointwise convergent, pointwise bounded and equicontinuous on $[0,1]$

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