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Subspaces of L p , p > 2, determined by partitions and weights

Dale E. Alspach, Simei Tong (2003)

Studia Mathematica

Many of the known complemented subspaces of L p have realizations as sequence spaces. In this paper a systematic approach to defining these spaces which uses partitions and weights is introduced. This approach gives a unified description of many well known complemented subspaces of L p . It is proved that the class of spaces with such norms is stable under (p,2) sums. By introducing the notion of an envelope norm, we obtain a necessary condition for a Banach sequence space with norm given by partitions...

Symmetric Bessel multipliers

Khadija Houissa, Mohamed Sifi (2012)

Colloquium Mathematicae

We study the L p -boundedness of linear and bilinear multipliers for the symmetric Bessel transform.

Système de Haar

B. Maurey (1974/1975)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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