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

Jacek Dziubanski; Jacek Zienkiewicz

Revista Matemática Iberoamericana (1999)

- Volume: 15, Issue: 2, page 277-295
- ISSN: 0213-2230

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topDziubanski, 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>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>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>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>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 -

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