Question

How to get this norm of the functional

score 53 · Answer 1 · 2019-07-21 16:58:03

53

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How to get this norm of the functional

Published on 21 Jul 2019 - 16:58

score 32 · Answer 2 · 2019-07-22 18:29:07

32

Views

Mechanisms under which a sequence converges weakly in $L^p$ spaces

Published on 22 Jul 2019 - 18:29

score 413 · Answer 3 · 2026-03-27 18:26:54

413

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What is the cardinality of $L^{\infty}(\mathbb{R})$?

Published on 27 Mar 2026 - 18:26

score 89 · Answer 4 · 2019-07-23 19:36:48

89

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Quick tip: Why is $\vert \vert x \vert \vert_{\infty}^{q-p} \vert \vert x \vert \vert _{p}^{p}\leq \vert \vert x \vert \vert _{q}^{q}$

Published on 23 Jul 2019 - 19:36

score 23 · Answer 5 · 2026-03-25 11:15:52

23

Views

Confusion on when we can assume $\operatorname{dom}(T)$ is closed within itself

Published on 25 Mar 2026 - 11:15

score 3.6k · Answer 6 · 2026-03-30 13:41:24

3.6k

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Show that $\int_{\mathbb R^d}(|f_n|^p-|f_n-f|^p)\,dx\to\int_{\mathbb R^d}|f|^p\,dx.$

Published on 30 Mar 2026 - 13:41

score 90 · Answer 7 · 2019-07-25 20:40:10

90

Views

Consider the operator L given by $Lf(x)=\int_0^\infty e^{-tx}f(t)dt$. Show L is unbounded for 1<p<\infty

Published on 25 Jul 2019 - 20:40

score 42 · Answer 8 · 2026-03-29 16:33:55

42

Views

Strong $L^p$ convergence and weak $H^{1,p}$ convergence

Published on 29 Mar 2026 - 16:33

score 81 · Answer 9 · 2026-03-26 17:07:21

81

Views

Struggling with non-Hilbert adjoint operators on $\ell^{p}$

Published on 26 Mar 2026 - 17:07

score 64 · Answer 10 · 2026-03-30 13:37:30

64

Views

Exponential decay of solution in $L^p$ with $p>2$

Published on 30 Mar 2026 - 13:37

score 81 · Answer 11 · 2019-07-29 11:00:05

81

Views

When is this estimate about L2-norms true?

Published on 29 Jul 2019 - 11:00

score 335 · Answer 12 · 2026-03-25 14:36:51

335

Views

Can the weak-* topology in $L^{\infty}$ be characterized by convergence of with respect to simple test functions??

Published on 25 Mar 2026 - 14:36

score 97 · Answer 13 · 2019-07-31 17:01:09

97

Views

Estimate for Integral of $L^{2}$ Functions Using Convergent Sequence of $C^{\infty}_{0}$ Functions

Published on 31 Jul 2019 - 17:01

score 168 · Answer 14 · 2026-03-25 17:39:28

168

Views

Nonnegativity of solution of $u_t=\Delta u+u$

Published on 25 Mar 2026 - 17:39

score 47 · Answer 15 · 2019-08-02 02:58:10

47

Views

A question about $L^p\cap L^q$ ($p,q$ be conjugate exponents such that $1<p<2$).

Published on 02 Aug 2019 - 2:58

List Question

How to get this norm of the functional

Mechanisms under which a sequence converges weakly in $L^p$ spaces

What is the cardinality of $L^{\infty}(\mathbb{R})$?

Quick tip: Why is $\vert \vert x \vert \vert_{\infty}^{q-p} \vert \vert x \vert \vert _{p}^{p}\leq \vert \vert x \vert \vert _{q}^{q}$

Confusion on when we can assume $\operatorname{dom}(T)$ is closed within itself

Show that $\int_{\mathbb R^d}(|f_n|^p-|f_n-f|^p)\,dx\to\int_{\mathbb R^d}|f|^p\,dx.$

Consider the operator L given by $Lf(x)=\int_0^\infty e^{-tx}f(t)dt$. Show L is unbounded for 1<p<\infty

Strong $L^p$ convergence and weak $H^{1,p}$ convergence

Struggling with non-Hilbert adjoint operators on $\ell^{p}$

Exponential decay of solution in $L^p$ with $p>2$

When is this estimate about L2-norms true?

Can the weak-* topology in $L^{\infty}$ be characterized by convergence of with respect to simple test functions??

Estimate for Integral of $L^{2}$ Functions Using Convergent Sequence of $C^{\infty}_{0}$ Functions

Nonnegativity of solution of $u_t=\Delta u+u$

A question about $L^p\cap L^q$ ($p,q$ be conjugate exponents such that $1<p<2$).

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