Distinctness of spaces of Lorentz-Zygmund multipliers

• Autorzy: Kathryn E. Hare , Parasar Mohanty
• Języki publikacji: EN

Abstrakty

EN

We study the spaces of Lorentz-Zygmund multipliers on compact abelian groups and show that many of these spaces are distinct. This generalizes earlier work on the non-equality of spaces of Lorentz multipliers.

Kategorie tematyczne

• 42A45: Multipliers
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 2
• Strony: 143-161

Daty

wydano

2005

Twórcy

autor

Kathryn E. Hare

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

autor

Parasar Mohanty

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
• Department of Mathematics, University of Delhi, Delhi, India 110007

Identyfikatory

DOI

10.4064/sm169-2-4