Optimal domains for kernel operators on [0,∞) × [0,∞)

Olvido Delgado. "Optimal domains for kernel operators on [0,∞) × [0,∞)." Studia Mathematica 174.2 (2006): 131-145. <http://eudml.org/doc/285205>.

@article{OlvidoDelgado2006,
abstract = {Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values in X) in terms of interpolation spaces, under appropriate conditions on the kernel and the space X. The techniques used are based on the relation between linear operators and vector measures.},
author = {Olvido Delgado},
journal = {Studia Mathematica},
keywords = {kernel operator; rearrangement invariant space; optimal domain; vector measure},
language = {eng},
number = {2},
pages = {131-145},
title = {Optimal domains for kernel operators on [0,∞) × [0,∞)},
url = {http://eudml.org/doc/285205},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Olvido Delgado
TI - Optimal domains for kernel operators on [0,∞) × [0,∞)
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 2
SP - 131
EP - 145
AB - Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values in X) in terms of interpolation spaces, under appropriate conditions on the kernel and the space X. The techniques used are based on the relation between linear operators and vector measures.
LA - eng
KW - kernel operator; rearrangement invariant space; optimal domain; vector measure
UR - http://eudml.org/doc/285205
ER -