Square functions, bounded analytic semigroups, and applications

Christian Le Merdy. "Square functions, bounded analytic semigroups, and applications." Banach Center Publications 75.1 (2007): 191-220. <http://eudml.org/doc/282490>.

@article{ChristianLeMerdy2007,
abstract = {To any bounded analytic semigroup on Hilbert space or on $L^p$-space, one may associate natural ’square functions’. In this survey paper, we review old and recent results on these square functions, as well as some extensions to various classes of Banach spaces, including noncommutative $L^p$-spaces, Banach lattices, and their subspaces. We give some applications to $H^∞$ functional calculus, similarity problems, multiplier theory, and control theory.},
author = {Christian Le Merdy},
journal = {Banach Center Publications},
keywords = {analytic semigroups; square function; -space},
language = {eng},
number = {1},
pages = {191-220},
title = {Square functions, bounded analytic semigroups, and applications},
url = {http://eudml.org/doc/282490},
volume = {75},
year = {2007},
}

TY - JOUR
AU - Christian Le Merdy
TI - Square functions, bounded analytic semigroups, and applications
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 191
EP - 220
AB - To any bounded analytic semigroup on Hilbert space or on $L^p$-space, one may associate natural ’square functions’. In this survey paper, we review old and recent results on these square functions, as well as some extensions to various classes of Banach spaces, including noncommutative $L^p$-spaces, Banach lattices, and their subspaces. We give some applications to $H^∞$ functional calculus, similarity problems, multiplier theory, and control theory.
LA - eng
KW - analytic semigroups; square function; -space
UR - http://eudml.org/doc/282490
ER -