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Currently displaying 1 – 2 of 2

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Superposition of imbeddings and Fefferman's inequality

Miroslav Krbec; Thomas Schott — 1999

Bollettino dell'Unione Matematica Italiana

In questo lavoro si studiano condizioni sufficienti sulla funzione peso $V$ , espresse in termini di integrabilità, per la validità della disuguaglianza ${(\int_{B} u^{2} (x) V (x) d x)}^{\frac{1}{2}} \leq c {(\int_{B} {(\nabla u (x))}^{2} d x)}^{\frac{1}{2}},$ dove $B$ denota una sfera in $R^{N}$ . Usando una tecnica di decomposizione di immersioni si dimostrano condizioni sufficienti in termini di appartenenza a spazi di Lebesgue, Lorentz-Orlicz e/o di tipo debole. Come applicazioni vengono fornite condizioni sufficienti per la proprietà forte di prolungamento unico per $|Δ u| \leq V |u|$ nelle dimensioni 2 e 3.

On factorization of Fefferman's inequality

Krbec, Miroslav; Schott, Thomas — 1998

Proceedings of Equadiff 9

Page 1

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