Square functions associated to Schrödinger operators

I. Abu-Falahah, P. R. Stinga, and J. L. Torrea. "Square functions associated to Schrödinger operators." Studia Mathematica 203.2 (2011): 171-194. <http://eudml.org/doc/285792>.

@article{I2011,
abstract = {We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schrödinger operators of the form ℒ = -Δ + V, where the nonnegative potential V satisfies a reverse Hölder inequality. The main idea is to sharpen the well known localization method introduced by Z. Shen. Our results can be regarded as alternative proofs of the boundedness in H¹, $L^\{p\}$ and BMO of classical ℒ-square functions.},
author = {I. Abu-Falahah, P. R. Stinga, J. L. Torrea},
journal = {Studia Mathematica},
keywords = {Schrödinger operator; reverse Hölder class; Littlewood-Paley square function; uniformly convex Banach space; vector-valued harmonic analysis},
language = {eng},
number = {2},
pages = {171-194},
title = {Square functions associated to Schrödinger operators},
url = {http://eudml.org/doc/285792},
volume = {203},
year = {2011},
}

TY - JOUR
AU - I. Abu-Falahah
AU - P. R. Stinga
AU - J. L. Torrea
TI - Square functions associated to Schrödinger operators
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 2
SP - 171
EP - 194
AB - We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schrödinger operators of the form ℒ = -Δ + V, where the nonnegative potential V satisfies a reverse Hölder inequality. The main idea is to sharpen the well known localization method introduced by Z. Shen. Our results can be regarded as alternative proofs of the boundedness in H¹, $L^{p}$ and BMO of classical ℒ-square functions.
LA - eng
KW - Schrödinger operator; reverse Hölder class; Littlewood-Paley square function; uniformly convex Banach space; vector-valued harmonic analysis
UR - http://eudml.org/doc/285792
ER -