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Displaying 21 – 29 of 29

Transferring $L^{p}$ multipliers

Anthony H. Dooley (1986)

Annales de l'institut Fourier

By combining some results of C. S. Herz on the Fourier algebra with the notion of contractions of Lie groups, we prove theorems which allow transference of $L^{p}$ multipliers either from the Lie algebra or from the Cartan motion group associated to a compact Lie group to the group itself.

Translation invariant complemented subspaces of $L^{p}$

J. Bourgain (1982)

Studia Mathematica

Translation invariant forms on $L^{p} (G) (1 < p < \infty)$

Jean Bourgain (1986)

Annales de l'institut Fourier

It is shown that if $G$ is a connected metrizable compact Abelian group and $1 < p < \infty$ , any (possibly discontinuous) translation invariant linear form on $L^{p} (G)$ is a scalar multiple of the Haar measure. This result extends the theorem of G.H. Meisters and W.M. Schmidt (J. Funct. Anal. 13 (1972), 407-424) on $L^{2} (G)$ . Our method permits in fact to consider any superreflexive translation invariant Banach lattice on $G$ , which is the adopted point of view. We study the representation of an element $f$ of this invariant lattice...

Translation invariant subspaces of $L^{p} (G)$

Aharon Atzmon (1973)

Studia Mathematica

Translation-Invariant Linear Forms on D(G).

David L. Johnson (1980)

Mathematische Annalen

Translations mesurables et ensembles de Rosenthal

Mohammad Daher (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Treillis d'ondelettes associés aux groupes de Lorentz

G. Bohnke (1991)

Annales de l'I.H.P. Physique théorique

Two examples of subspaces in $L^{2 l}$ spanned by characters of finite order

Mats Erik Andersson (2001)

Colloquium Mathematicae

By a Fourier multiplier technique on Cantor-like Abelian groups with characters of finite order, the norms from L² into $L^{2 l}$ of certain embeddings of character sums are computed. It turns out that the orders of the characters are immaterial as soon as they are at least four.

Two-weighted $L_{p}$ -inequalities for singular integral operators on Heisenberg groups.

Guliev, V.S. (1994)

Georgian Mathematical Journal

Currently displaying 21 – 29 of 29

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