List questions from lp-spaces | MathQa

Closed / open set in $\ell^\infty$ metric space.

Published on 26 Dec 2024 - 4:57

Counterexample to $L^1$-boundedness of the maximal operator $f \mapsto f^\#$ with $f^{\sharp}(x):=\sup_{Q\ni x}\frac{1}{|Q|}\int_{Q}|f-(f)_{Q}|dy$

Published on 12 Jan 2025 - 8:27

If a subspace of $L^p\cap L^q$ is closed with respect to both norms, the norms are equivalent on this subspace

Published on 28 Dec 2024 - 2:05

Coordinate projections in $l^p$ are Lipschitz continuous

Published on 04 Jan 2025 - 23:35

About completeness of complex exponential systems

Published on 02 Jan 2025 - 8:30

Find the number of interior points of this subspace of $l^2$.

Published on 12 Jan 2025 - 8:32

A function $f$ that is not in any $L^p$ but the measure of $\{|f|>t\}$ is bounded by $C/t$

Published on 28 Dec 2024 - 13:46

$ ( \int_{\mathbb R}[\int_{\mathbb R} |f(x,y)|^{p} dx]^{p/q} dy)^{1/q} < \infty$ for large $N$?

Published on 04 Jan 2025 - 16:13

$f \in L^p \cap L^q$ implies $f \in L^r$ for $p\leq r \leq q$.

Published on 29 Dec 2024 - 13:52

Exercise 4 chapter 7 Evans book

Published on 12 Jan 2025 - 18:48