List questions from lp-spaces

Published on 09 Apr 2026 - 4:41

118

Views

Bounding $L^6$ norm by $L^2$

Published on 06 Apr 2026 - 15:56

77

Views

If $u$ is a weak solution of the Navier-Stokes equations then $\partial_t u \in L^{4/3}(0,T; V^*)$

Published on 26 Mar 2026 - 4:37

47

Views

Trouble bounding a linear functional

Published on 13 Jun 2023 - 2:57

71

Views

Is $B \cap L^2\Big( (0,T) \times (0,1)\Big)$ a closed subset of $L^2\Big( (0,T) \times (0,1)\Big)$?

Published on 13 Jun 2023 - 18:51

42

Views

Showing that a function is a weak time derivative of a Bochner function

Published on 26 Mar 2026 - 6:04

52

Views

Proof of the Landau-Kolmogorov inequality

Published on 14 Jun 2023 - 13:33

30

Views

Example of a function $f(x,t)$ defined on $X \times (0,T)$ that is in $L^p(X)$ for all $1 \leq p \leq \infty$ but not in $L^q(0, T; L^p)$?

Published on 26 Mar 2026 - 4:34

51

Views

Brezis' exercise 6.4: is the continuous injection from $\ell^p$ to $c_0$ compact?

Published on 28 Mar 2026 - 6:09

79

Views

Brezis' exercise 6.5: $V$ is a Hilbert space and $V \subset \ell^2$ with compact injection

Published on 28 Mar 2026 - 4:34

62

Views

Showing that $f(\lambda x)\to f(x)$ in $L^4$

Published on 17 Jun 2023 - 16:35

84

Views

Brezis' exercise 6.6: the canonical injection from $L^p(0, 1)$ to $L^q(0, 1)$ is continuous but not compact

Published on 28 Mar 2026 - 4:35

85

Views

I need to show a funcion is $L^1_{loc}$

Published on 01 Apr 2026 - 22:53

67

Views

Bartle’s Measure Theory, exercise 6G

Published on 09 Apr 2026 - 0:56

95

Views

The norm, resolvent set, and adjoint of the operator $T(x_1, x_2, \ldots) = (x_2, x_3, \ldots)$ on $\ell_1$

Published on 01 Apr 2026 - 7:20

List Question

Existence proof of conditional expectation

Bounding $L^6$ norm by $L^2$

If $u$ is a weak solution of the Navier-Stokes equations then $\partial_t u \in L^{4/3}(0,T; V^*)$

Trouble bounding a linear functional

Is $B \cap L^2\Big( (0,T) \times (0,1)\Big)$ a closed subset of $L^2\Big( (0,T) \times (0,1)\Big)$?

Showing that a function is a weak time derivative of a Bochner function

Proof of the Landau-Kolmogorov inequality

Example of a function $f(x,t)$ defined on $X \times (0,T)$ that is in $L^p(X)$ for all $1 \leq p \leq \infty$ but not in $L^q(0, T; L^p)$?

Brezis' exercise 6.4: is the continuous injection from $\ell^p$ to $c_0$ compact?

Brezis' exercise 6.5: $V$ is a Hilbert space and $V \subset \ell^2$ with compact injection

Showing that $f(\lambda x)\to f(x)$ in $L^4$

Brezis' exercise 6.6: the canonical injection from $L^p(0, 1)$ to $L^q(0, 1)$ is continuous but not compact

I need to show a funcion is $L^1_{loc}$

Bartle’s Measure Theory, exercise 6G

The norm, resolvent set, and adjoint of the operator $T(x_1, x_2, \ldots) = (x_2, x_3, \ldots)$ on $\ell_1$

Trending Questions

Popular # Hahtags

Popular Questions