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

• Autorzy: Mats Erik Andersson
• Języki publikacji: EN

Abstrakty

EN

By a Fourier multiplier technique on Cantor-like Abelian groups with characters of finite order, the norms from L² into $L^{2l}$ 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.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 42A45: Multipliers
• 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 13-26

Daty

wydano

2001

Twórcy

autor

Mats Erik Andersson

• Matematiska institutionen, Stockholms universitet, SE-106 91 Stockholm, Sweden

Identyfikatory

DOI

10.4064/cm87-1-2