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

Jörgen Boo

Publicacions Matemàtiques (2001)

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

Abstract

top
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∂∂.

How to cite

top

Boo, 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.