Question

Prove that a function lies in $L^1$ and in $W^{(1,1)}$ for some parameter

score 57 · Answer 1 · 2026-03-26 04:32:30

57

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Prove that a function lies in $L^1$ and in $W^{(1,1)}$ for some parameter

Published on 26 Mar 2026 - 4:32

score 250 · Answer 2 · 2026-04-01 17:45:59

250

Views

Proposed proof for convergence in Sobolev space

Published on 01 Apr 2026 - 17:45

score 883 · Answer 3 · 2026-03-31 23:32:27

883

Views

Approximation of Conditional Expectation with Respect to "Y" Using Simple Approximation of "Y"

Published on 31 Mar 2026 - 23:32

score 503 · Answer 4 · 2026-03-30 04:55:02

503

Views

$L^p$ Martingale convergence theorem

Published on 30 Mar 2026 - 4:55

score 67 · Answer 5 · 2014-12-18 15:30:49

67

Views

For $(l^2,\|\cdot\|_2)$ and $e_n=(0,0,.,1,0,.)$ and a bounded linear functional $\Phi$ find $p\geq 1$ where $\sum_{n=1}^\infty |b_n|^p$ converges?

Published on 18 Dec 2014 - 15:30

score 46 · Answer 6 · 2014-12-19 17:45:43

46

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Show that $g=\sum_{n=1}^{\infty } |f _{n+1 }-f _n | $ has $||g ||_p\le 1 $ if $||f _{n+1 }-f _n ||_p <2 ^{-n } $

Published on 19 Dec 2014 - 17:45

score 172 · Answer 7 · 2026-03-26 00:53:30

172

Views

Alternate proof of a result on dual spaces: what is wrong with it?

Published on 26 Mar 2026 - 0:53

score 845 · Answer 8 · 2014-12-20 22:13:17

845

Views

Integral with a compact supported function $0$ indicates the $L^2$ function $0$ almost everywhere

Published on 20 Dec 2014 - 22:13

score 1.5k · Answer 9 · 2026-03-26 13:51:32

1.5k

Views

Dual of $\ell^p$ Direct sum

Published on 26 Mar 2026 - 13:51

score 245 · Answer 10 · 2026-03-26 12:42:49

245

Views

Generalised Holder ineq

Published on 26 Mar 2026 - 12:42

score 47 · Answer 11 · 2014-12-29 08:45:52

47

Views

Find $c_0$ for which a sequence is in $l_2$?

Published on 29 Dec 2014 - 8:45

score 44 · Answer 12 · 2015-01-01 06:00:16

44

Views

A basic question on the space of square integrable functions

Published on 01 Jan 2015 - 6:00

score 170 · Answer 13 · 2026-03-26 02:55:44

170

Views

Dual of $L^p$ when $p = 0$?

Published on 26 Mar 2026 - 2:55

score 51 · Answer 14 · 2026-04-02 19:37:13

51

Views

Is $\left(\frac{1}{x}\right)^{\frac{1}{p} - \frac{1}{n}}$ a Cauchy Sequence in $L^p((0,1))$

Published on 02 Apr 2026 - 19:37

score 171 · Answer 15 · 2026-03-30 17:02:46

171

Views

Implications of weak convergence in Lp e change of measure spaces

Published on 30 Mar 2026 - 17:02

List Question

Prove that a function lies in $L^1$ and in $W^{(1,1)}$ for some parameter

Proposed proof for convergence in Sobolev space

Approximation of Conditional Expectation with Respect to "Y" Using Simple Approximation of "Y"

$L^p$ Martingale convergence theorem

For $(l^2,\|\cdot\|_2)$ and $e_n=(0,0,.,1,0,.)$ and a bounded linear functional $\Phi$ find $p\geq 1$ where $\sum_{n=1}^\infty |b_n|^p$ converges?

Show that $g=\sum_{n=1}^{\infty } |f _{n+1 }-f _n | $ has $||g ||_p\le 1 $ if $||f _{n+1 }-f _n ||_p <2 ^{-n } $

Alternate proof of a result on dual spaces: what is wrong with it?

Integral with a compact supported function $0$ indicates the $L^2$ function $0$ almost everywhere

Dual of $\ell^p$ Direct sum

Generalised Holder ineq

Find $c_0$ for which a sequence is in $l_2$?

A basic question on the space of square integrable functions

Dual of $L^p$ when $p = 0$?

Is $\left(\frac{1}{x}\right)^{\frac{1}{p} - \frac{1}{n}}$ a Cauchy Sequence in $L^p((0,1))$

Implications of weak convergence in Lp e change of measure spaces

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