Projections on Hardy spaces in the Lie ball.

David Bekollé

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 1, page 57-68
  • ISSN: 0214-1493

Abstract

top
On the Lie ball w of Cn, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space Hp(w) is an uncomplemented subspace of the Lebesgue space Lp(∂0w, dσ), where ∂0w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂0w.

How to cite

top

Bekollé, David. "Projections on Hardy spaces in the Lie ball.." Publicacions Matemàtiques 38.1 (1994): 57-68. <http://eudml.org/doc/41205>.

@article{Bekollé1994,
abstract = {On the Lie ball w of Cn, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space Hp(w) is an uncomplemented subspace of the Lebesgue space Lp(∂0w, dσ), where ∂0w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂0w.},
author = {Bekollé, David},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Hardy; Análisis armónico; Bola unidad; Lie ball; Hardy space; uncomplemented subspace of the Lebesgue space; Shilov boundary},
language = {eng},
number = {1},
pages = {57-68},
title = {Projections on Hardy spaces in the Lie ball.},
url = {http://eudml.org/doc/41205},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Bekollé, David
TI - Projections on Hardy spaces in the Lie ball.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 1
SP - 57
EP - 68
AB - On the Lie ball w of Cn, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space Hp(w) is an uncomplemented subspace of the Lebesgue space Lp(∂0w, dσ), where ∂0w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂0w.
LA - eng
KW - Espacios de Hardy; Análisis armónico; Bola unidad; Lie ball; Hardy space; uncomplemented subspace of the Lebesgue space; Shilov boundary
UR - http://eudml.org/doc/41205
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.