3 problems

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Iwaniec–Martin weak $L^{nK}$ conjecture
Let $cuOmega\textbackslashsubset\textbackslashmathbb R^n$ be a domain, let $K\textbackslashge 1$ , and let…
Conjectureopengeometric-function-theory lebesgue-spaces quasiregular-mappingsarXiv posted 2 days ago
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The conjecture comparing the constants $C_q$ and $B_q$
Comparison conjecture. Due to numerical calculations, $C_q>B_q$ for $1<q<2$ , while $C_q<B_q$ for $2<q<\infty$ . The constants agree at $q=2$ , and the comparison concerns the relativ…
Conjectureopenfourier-analysis inequalities lebesgue-spacesarXiv posted 2 days ago
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Non-inclusion of the Coulomb–Sobolev space in the critical Lebesgue space
Let $E$ be the function space considered in the paper, consisting of radial functions on $\mathbb{R}^3$ with the norm used above. The critical Lebesgue space is…
Conjectureopenfunctional-analysis lebesgue-spaces sobolev-spacesarXiv posted 2 days ago

Iwaniec–Martin weak LnKL^{nK}LnK conjecture