Question

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

score 53 · Answer 1 · 2022-06-01 22:51:38

53

Views

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

Published on 01 Jun 2022 - 22:51

score 67 · Answer 2 · 2022-06-05 14:15:24

67

Views

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 05 Jun 2022 - 14:15

score 65 · Answer 3 · 2022-06-26 09:28:35

65

Views

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

Published on 26 Jun 2022 - 9:28

score 138 · Answer 4 · 2022-06-30 17:34:25

138

Views

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

Published on 30 Jun 2022 - 17:34

score 40 · Answer 5 · 2022-07-07 17:34:10

40

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 07 Jul 2022 - 17:34

score 88 · Answer 6 · 2022-07-09 09:45:39

88

Views

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

Published on 09 Jul 2022 - 9:45

score 44 · Answer 7 · 2022-07-12 10:30:11

44

Views

Proof of the existence of minimal stopping times

Published on 12 Jul 2022 - 10:30

score 100 · Answer 8 · 2022-07-12 12:23:17

100

Views

I have to show that this function is continuous

Published on 12 Jul 2022 - 12:23

score 26 · Answer 9 · 2022-07-13 13:36:58

26

Views

Norm convergence plus continuity imply pointwise convergence?

Published on 13 Jul 2022 - 13:36

score 113 · Answer 10 · 2022-07-19 02:27:46

113

Views

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

Published on 19 Jul 2022 - 2:27

score 91 · Answer 11 · 2022-08-05 21:51:26

91

Views

Convergence of triangle function to a constant

Published on 05 Aug 2022 - 21:51

score 48 · Answer 12 · 2022-08-07 04:42:50

48

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 07 Aug 2022 - 4:42

score 96 · Answer 13 · 2022-08-08 16:44:45

96

Views

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

Published on 08 Aug 2022 - 16:44

score 107 · Answer 14 · 2026-02-24 02:06:27

107

Views

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

Published on 24 Feb 2026 - 2:06

score 57 · Answer 15 · 2026-02-24 03:43:57

57

Views

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

Published on 24 Feb 2026 - 3:43

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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