Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.

Dziubanski, Jacek, and Zienkiewicz, Jacek. "Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.." Revista Matemática Iberoamericana 15.2 (1999): 277-295. <http://eudml.org/doc/39574>.

@article{Dziubanski1999,
abstract = {Let \{Tt\}t&gt;0 be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup \{Tt\}t&gt;0. Atomic and Riesz transforms characterizations of HA1 are shown.},
author = {Dziubanski, Jacek, Zienkiewicz, Jacek},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores diferenciales; Espacios de Hardy; Transformadas integrales; Ecuación de Schrödinger; Desigualdad de Hölder; Riesz transform; atomic decomposition; Schrödinger operator; Hölder inequality; Hardy space},
language = {eng},
number = {2},
pages = {277-295},
title = {Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.},
url = {http://eudml.org/doc/39574},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Dziubanski, Jacek
AU - Zienkiewicz, Jacek
TI - Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 2
SP - 277
EP - 295
AB - Let {Tt}t&gt;0 be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t&gt;0. Atomic and Riesz transforms characterizations of HA1 are shown.
LA - eng
KW - Operadores diferenciales; Espacios de Hardy; Transformadas integrales; Ecuación de Schrödinger; Desigualdad de Hölder; Riesz transform; atomic decomposition; Schrödinger operator; Hölder inequality; Hardy space
UR - http://eudml.org/doc/39574
ER -