Intersection properties for cones of monotone and convex functions with respect to the couple $(L_{p},BMO)$

• Autorzy: Inna Kozlov
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to some aspects of the real interpolation method in the case of triples (X₀,X₁,Q) where X̅: = (X₀,X₁) is a Banach couple and Q is a convex cone. The first fundamental result of the theory, the interpolation theorem, holds in this situation (for linear operators preserving the cone structure). The second one, the reiteration theorem, holds only under some conditions on the triple. One of these conditions, the so-called intersection property, is studied for cones with respect to $(L_{p},BMO)$.

Kategorie tematyczne

• 46B70: Interpolation between normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 144
• Numer: 3
• Strony: 245-273

Daty

wydano

2001

Twórcy

autor

Inna Kozlov

• Electro-Optics Research and Development Ltd., Technion, Haifa 32000, Israel

Identyfikatory

DOI

10.4064/sm144-3-4