Question

Can we use a series of properties to determine integral operator $f \to \int_0^1 f d\mu $

score 40 · Answer 1 · 2015-11-17 07:39:12

40

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Can we use a series of properties to determine integral operator $f \to \int_0^1 f d\mu $

Published on 17 Nov 2015 - 7:39

score 488 · Answer 2 · 2026-04-09 12:30:04

488

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Fredholm integral operator

Published on 09 Apr 2026 - 12:30

score 167 · Answer 3 · 2026-04-14 23:30:34

167

Views

Prove that if E is positive lebesgue measurabel set, then E − E and E + E contain non-empty open sets.

Published on 14 Apr 2026 - 23:30

score 310 · Answer 4 · 2026-04-13 12:36:07

310

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Measure of boundary in $\mathbb R^n$

Published on 13 Apr 2026 - 12:36

score 1k · Answer 5 · 2026-04-10 17:59:29

1k

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Simple function with same support as a function with finite support

Published on 10 Apr 2026 - 17:59

score 2.1k · Answer 6 · 2026-04-15 07:52:32

2.1k

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The convolution of an integrable function with a $p$-integrable function is integrable

Published on 15 Apr 2026 - 7:52

score 314 · Answer 7 · 2026-04-10 13:40:26

314

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Change of variable for integration with respect to Haar measure

Published on 10 Apr 2026 - 13:40

score 946 · Answer 8 · 2026-04-15 10:54:53

946

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Show that measure of symmetric difference $= \int_{E}\vert \chi_{A} - \chi_{B}\vert$

Published on 15 Apr 2026 - 10:54

score 1.8k · Answer 9 · 2026-04-09 11:25:32

1.8k

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Show that the function is not Lebesgue Integrable

Published on 09 Apr 2026 - 11:25

score 72 · Answer 10 · 2026-04-09 23:41:11

72

Views

Calculate Norm Operator

Published on 09 Apr 2026 - 23:41

score 212 · Answer 11 · 2026-04-12 09:19:06

212

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Lebesgue integral of non-negative

Published on 12 Apr 2026 - 9:19

score 290 · Answer 12 · 2026-04-20 11:53:39

290

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Lebesgue integral of a measurable function squeezed between two integrable functions

Published on 20 Apr 2026 - 11:53

score 291 · Answer 13 · 2026-04-14 04:34:07

291

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$f$ locally bounded, nonnegative, and measurable function integrable iff series $\int_{n=1}^{\infty}a_{n}$ converges absolutely

Published on 14 Apr 2026 - 4:34

score 312 · Answer 14 · 2026-04-16 05:05:32

312

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Show that $\{f_n \} \to f$ in $L^p(E)$ iF $\{f_n\}$ belongs to and is bounded as a subset of $L^{p+\theta} (E)$.

Published on 16 Apr 2026 - 5:05

score 66 · Answer 15 · 2026-04-20 06:07:06

66

Views

Averages of integral and$ L^p$ space problem

Published on 20 Apr 2026 - 6:07

List Question

Can we use a series of properties to determine integral operator $f \to \int_0^1 f d\mu $

Fredholm integral operator

Prove that if E is positive lebesgue measurabel set, then E − E and E + E contain non-empty open sets.

Measure of boundary in $\mathbb R^n$

Simple function with same support as a function with finite support

The convolution of an integrable function with a $p$-integrable function is integrable

Change of variable for integration with respect to Haar measure

Show that measure of symmetric difference $= \int_{E}\vert \chi_{A} - \chi_{B}\vert$

Show that the function is not Lebesgue Integrable

Calculate Norm Operator

Lebesgue integral of non-negative

Lebesgue integral of a measurable function squeezed between two integrable functions

$f$ locally bounded, nonnegative, and measurable function integrable iff series $\int_{n=1}^{\infty}a_{n}$ converges absolutely

Show that $\{f_n \} \to f$ in $L^p(E)$ iF $\{f_n\}$ belongs to and is bounded as a subset of $L^{p+\theta} (E)$.

Averages of integral and$ L^p$ space problem

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