Question

Bounding Problem /Conditions for the Lebsgue Integral of a Function depending on two parameters to be continuous

score 70 · Answer 1 · 2026-04-10 05:03:01

Bounding Problem /Conditions for the Lebsgue Integral of a Function depending on two parameters to be continuous

score 57 · Answer 2 · 2026-04-14 18:33:40

57

Views

Doubts concerning to an application of Frullani's theorem to $f_k(x)=\frac{2^{-k^2x}-2^{-(k^2+1)x}}{x}$, and Lebesgue convergence theorems

Published on 14 Apr 2026 - 18:33

score 74 · Answer 3 · 2026-04-26 11:51:46

74

Views

Is it true that $\lim\limits_{r \rightarrow 1}f(r x) = f(x)$ in $L^1$?

Published on 26 Apr 2026 - 11:51

score 85 · Answer 4 · 2026-04-15 00:51:48

85

Views

Is $\iint \dfrac{1}{z} dxdy\neq 0$?

Published on 15 Apr 2026 - 0:51

score 77 · Answer 5 · 2026-04-15 12:53:14

77

Views

A Measure Theory problem-If $\int_{A_n}f(x)dx\rightarrow0 $ then $\lambda(A_n)\rightarrow0$

Published on 15 Apr 2026 - 12:53

score 242 · Answer 6 · 2026-04-11 06:28:29

242

Views

An uncountable chain of equivalence relations

Published on 11 Apr 2026 - 6:28

score 77 · Answer 7 · 2026-04-12 00:35:12

77

Views

Using Tonelli - upper and lower limits of the integral

Published on 12 Apr 2026 - 0:35

score 980 · Answer 8 · 2026-04-13 07:01:51

980

Views

Not integrable although iterated integrals are equal

Published on 13 Apr 2026 - 7:01

score 681 · Answer 9 · 2026-04-17 13:45:06

681

Views

Dominated convergence theorem exercise application

Published on 17 Apr 2026 - 13:45

score 127 · Answer 10 · 2026-04-10 09:04:46

127

Views

Continuous function but iterated integrals are not equal

Published on 10 Apr 2026 - 9:04

score 356 · Answer 11 · 2026-04-14 18:39:22

356

Views

Show $f$ is integrable over $[1, \infty)$ iff $\sum_{n=1}^{\infty}\left|\int_n^{n+1}f \right|$ converges

Published on 14 Apr 2026 - 18:39

score 27 · Answer 12 · 2026-04-11 07:39:05

27

Views

Can distribution function of $f$ be expressed as triangle inequality form?

Published on 11 Apr 2026 - 7:39

score 548 · Answer 13 · 2026-04-13 23:12:49

548

Views

Fatou lemma and weak convergence in Hilbert

Published on 13 Apr 2026 - 23:12

score 380 · Answer 14 · 2026-04-15 00:19:40

380

Views

A $\sigma$-finite Borel measure $\mu$ on $\mathbb R$ with $\mu(\mathbb R)=\infty$ s.t. $\int f \,d\mu=\int g \,d\mu \implies f=g$ pointwise?

Published on 15 Apr 2026 - 0:19

score 93 · Answer 15 · 2026-04-16 16:33:54

Suppose that there is a finite $c$ such that $\int_0^1 | f(a+t) - f(b+t) | dt \le c$ for all $a$ and $b$. Show that $f \in L(0, 1)$.

List Question

Bounding Problem /Conditions for the Lebsgue Integral of a Function depending on two parameters to be continuous

Doubts concerning to an application of Frullani's theorem to $f_k(x)=\frac{2^{-k^2x}-2^{-(k^2+1)x}}{x}$, and Lebesgue convergence theorems

Is it true that $\lim\limits_{r \rightarrow 1}f(r x) = f(x)$ in $L^1$?

Is $\iint \dfrac{1}{z} dxdy\neq 0$?

A Measure Theory problem-If $\int_{A_n}f(x)dx\rightarrow0 $ then $\lambda(A_n)\rightarrow0$

An uncountable chain of equivalence relations

Using Tonelli - upper and lower limits of the integral

Not integrable although iterated integrals are equal

Dominated convergence theorem exercise application

Continuous function but iterated integrals are not equal

Show $f$ is integrable over $[1, \infty)$ iff $\sum_{n=1}^{\infty}\left|\int_n^{n+1}f \right|$ converges

Can distribution function of $f$ be expressed as triangle inequality form?

Fatou lemma and weak convergence in Hilbert

A $\sigma$-finite Borel measure $\mu$ on $\mathbb R$ with $\mu(\mathbb R)=\infty$ s.t. $\int f \,d\mu=\int g \,d\mu \implies f=g$ pointwise?

Suppose that there is a finite $c$ such that $\int_0^1 | f(a+t) - f(b+t) | dt \le c$ for all $a$ and $b$. Show that $f \in L(0, 1)$.

Trending Questions

Popular # Hahtags

Popular Questions