List questions from bochner-spaces

Published on 26 Mar 2026 - 4:29

35

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Derivative of $u(t)(f(t,x))$ in Bochner spaces

Published on 26 Mar 2026 - 4:38

67

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Does Riesz-Thorin Theorem hold for Bochner spaces?

Published on 26 Mar 2026 - 4:31

55

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Bochner integration without completing measures?

Published on 26 Mar 2026 - 6:18

47

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Density of smooth functions on $(0,T)\times\Omega$ in $W(0,T)$

Published on 10 May 2026 - 14:07

182

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Is there a Holder inequality for vector-valued functions?

Published on 26 Mar 2026 - 6:09

31

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Bounding $\int_0^T\|u\|_{L^2}^{(6-s)r/2s}\|u\|_{L^6}^{(3s-6)r/2s}$ when $u\in L^\infty(0,T; L^2) \cap L^2(0,T;L^6)$ and $\frac2r +\frac3s\geq\frac32$

Published on 26 Mar 2026 - 4:34

77

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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

42

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

Published on 26 Mar 2026 - 6:04

125

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An inclusion in Sobolev-Bochner spaces for an open set $\Omega \subset \mathbb{R}^2$ smooth enough

Published on 26 Mar 2026 - 4:34

30

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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

29

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Convergence of Weak Time Derivative in Bochner Space

Published on 25 Mar 2026 - 23:44

76

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Density of Sequences of Hilbert Spaces and Bochner Spaces

Published on 26 Mar 2026 - 4:34

21

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Bochner integrable function is a.e. non-negative, if Bochner integral is non-negative on all sets

Published on 25 Mar 2026 - 20:34

76

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Trace theorem for Bochner space.

Published on 26 Mar 2026 - 4:29

List Question

Cauchy's differentiation formula for bounded operators

Derivative of $u(t)(f(t,x))$ in Bochner spaces

Does Riesz-Thorin Theorem hold for Bochner spaces?

Bochner integration without completing measures?

Density of smooth functions on $(0,T)\times\Omega$ in $W(0,T)$

Is there a Holder inequality for vector-valued functions?

Bounding $\int_0^T\|u\|_{L^2}^{(6-s)r/2s}\|u\|_{L^6}^{(3s-6)r/2s}$ when $u\in L^\infty(0,T; L^2) \cap L^2(0,T;L^6)$ and $\frac2r +\frac3s\geq\frac32$

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

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

An inclusion in Sobolev-Bochner spaces for an open set $\Omega \subset \mathbb{R}^2$ smooth enough

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 $L^q(0, T; L^p)$?

Convergence of Weak Time Derivative in Bochner Space

Density of Sequences of Hilbert Spaces and Bochner Spaces

Bochner integrable function is a.e. non-negative, if Bochner integral is non-negative on all sets

Trace theorem for Bochner space.

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