# On canonical homotopy operators for ∂ in Fock type spaces in Cn.

Publicacions Matemàtiques (2001)

- Volume: 45, Issue: 1, page 223-233
- ISSN: 0214-1493

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topBoo, Jörgen. "On canonical homotopy operators for ∂ in Fock type spaces in Cn.." Publicacions Matemàtiques 45.1 (2001): 223-233. <http://eudml.org/doc/41423>.

@article{Boo2001,

abstract = {We show that a certain solution operator for ∂ in a space of forms square integrable against e-|z|2 is canonical, i.e., that it gives the minimal solution when applied to a ∂-closed form, and gives zero when applied to a form orthogonal to Ker ∂.As an application, we construct a canonical homotopy operator for i∂∂.},

author = {Boo, Jörgen},

journal = {Publicacions Matemàtiques},

keywords = {Operadores diferenciales; Homotopía; Espacios de Fock; Fock space; equation; integral formula; canonical homotopy operator},

language = {eng},

number = {1},

pages = {223-233},

title = {On canonical homotopy operators for ∂ in Fock type spaces in Cn.},

url = {http://eudml.org/doc/41423},

volume = {45},

year = {2001},

}

TY - JOUR

AU - Boo, Jörgen

TI - On canonical homotopy operators for ∂ in Fock type spaces in Cn.

JO - Publicacions Matemàtiques

PY - 2001

VL - 45

IS - 1

SP - 223

EP - 233

AB - We show that a certain solution operator for ∂ in a space of forms square integrable against e-|z|2 is canonical, i.e., that it gives the minimal solution when applied to a ∂-closed form, and gives zero when applied to a form orthogonal to Ker ∂.As an application, we construct a canonical homotopy operator for i∂∂.

LA - eng

KW - Operadores diferenciales; Homotopía; Espacios de Fock; Fock space; equation; integral formula; canonical homotopy operator

UR - http://eudml.org/doc/41423

ER -