Intersection properties for cones of monotone and convex functions with respect to the couple $(L_p,BMO)$

Inna Kozlov. "Intersection properties for cones of monotone and convex functions with respect to the couple $(L_{p},BMO)$." Studia Mathematica 144.3 (2001): 245-273. <http://eudml.org/doc/284588>.

@article{InnaKozlov2001,
abstract = {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 $(L_\{p\},BMO)$.},
author = {Inna Kozlov},
journal = {Studia Mathematica},
keywords = {cone; weak intersection property},
language = {eng},
number = {3},
pages = {245-273},
title = {Intersection properties for cones of monotone and convex functions with respect to the couple $(L_\{p\},BMO)$},
url = {http://eudml.org/doc/284588},
volume = {144},
year = {2001},
}

TY - JOUR
AU - Inna Kozlov
TI - Intersection properties for cones of monotone and convex functions with respect to the couple $(L_{p},BMO)$
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 3
SP - 245
EP - 273
AB - 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 $(L_{p},BMO)$.
LA - eng
KW - cone; weak intersection property
UR - http://eudml.org/doc/284588
ER -