On the density of the dilations and translates of function in $L_1$

Charles S. Kahane

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Perron’s integral for derivatives in $L^{r}$

L. Gordon (1967)

Studia Mathematica

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An alternative form of Egoroff's theorem

S. Taylor (1960)

Fundamenta Mathematicae

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Density covers

A. M. Bruckner, Charles L. Thorne (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Smoothness and differentiability in $L_{p}$

C. Neugebauer (1964)

Studia Mathematica

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Completely continuous multipliers from $L_{1} (G)$ into $L_{\infty} (G)$

G. Crombez, Willy Govaerts (1984)

Annales de l'institut Fourier

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For a locally compact Hausdorff group $G$ we investigate what functions in $L_{\infty} (G)$ give rise to completely continuous multipliers $T_{g}$ from $L_{1} (G)$ into $L_{\infty} (G)$ . In the case of a metrizable group we obtain a complete description of such functions. In particular, for $G$ compact all $g$ in $L_{\infty} (G)$ induce completely continuous $T_{g}$ .

Displaying similar documents to “On the density of the dilations and translates of function in L 1 ”

Perron’s integral for derivatives in L r

An alternative form of Egoroff's theorem

Density covers

Smoothness and differentiability in L p

Completely continuous multipliers from L 1 ( G ) into L ∞ ( G )

Displaying similar documents to “On the density of the dilations and translates of function in $L_{1}$ ”

Perron’s integral for derivatives in $L^{r}$

Smoothness and differentiability in $L_{p}$

Completely continuous multipliers from $L_{1} (G)$ into $L_{\infty} (G)$