List questions from lp-spaces

Published on 15 Apr 2026 - 19:10

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Is this a totally bounded set in the space of continuous functions?

Published on 11 Apr 2026 - 3:10

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$L^p$ Spaces, Young's Theorem, Convolutions, and Minkowski's Inequality

Published on 17 Apr 2026 - 2:28

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Question on proof of weak compactness of $L^p$

Published on 11 Apr 2026 - 15:25

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convergence on $L^p$ space

Published on 14 Apr 2026 - 8:20

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Are integrable, essentially bounded functions in L^p?

Published on 11 Apr 2026 - 19:20

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Uniform convergence with Lp functions

Published on 13 Apr 2026 - 22:24

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A measurable function with $\int f^n$ bounded or converging as $n \to \infty$

Published on 14 Apr 2026 - 7:36

179

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Show that $\lim_n \|\partial^s (f_n - g_n)\|_p = 0$ (no homework...)

Published on 24 Apr 2026 - 13:02

716

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Bounding for convolution convergence

Published on 12 Apr 2026 - 7:02

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$L^1$ function is bounded almost everywhere

Published on 14 Apr 2026 - 22:59

241

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Constructing Sequences in Lp

Published on 12 Apr 2026 - 16:15

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When does equality hold in the Minkowski's inequality $\|f+g\|_p\leq\|f\|_p+\|g\|_p$?

Published on 11 Apr 2026 - 15:12

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Show that $f(x)= \frac{x^{-1/2}}{1+ | \log x |} $ is only $L_{p} ((0,\infty])$ for p=2

Published on 16 Apr 2026 - 3:08

1.8k

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$L^p $ is not uniformly convex for $p=1, \infty$

Published on 14 Apr 2026 - 3:06

List Question

Proving that the smooth, compactly supported functions are dense in $L^2$.

Is this a totally bounded set in the space of continuous functions?

$L^p$ Spaces, Young's Theorem, Convolutions, and Minkowski's Inequality

Question on proof of weak compactness of $L^p$

convergence on $L^p$ space

Are integrable, essentially bounded functions in L^p?

Uniform convergence with Lp functions

A measurable function with $\int f^n$ bounded or converging as $n \to \infty$

Show that $\lim_n \|\partial^s (f_n - g_n)\|_p = 0$ (no homework...)

Bounding for convolution convergence

$L^1$ function is bounded almost everywhere

Constructing Sequences in Lp

When does equality hold in the Minkowski's inequality $\|f+g\|_p\leq\|f\|_p+\|g\|_p$?

Show that $f(x)= \frac{x^{-1/2}}{1+ | \log x |} $ is only $L_{p} ((0,\infty])$ for p=2

$L^p $ is not uniformly convex for $p=1, \infty$

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