Subsets of Hardy-class zero sets in the ball.

Pascal J. Thomas

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 1, page 135-144
  • ISSN: 0214-1493

Abstract

top
We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.

How to cite

top

Thomas, Pascal J.. "Subsets of Hardy-class zero sets in the ball.." Publicacions Matemàtiques 34.1 (1990): 135-144. <http://eudml.org/doc/41119>.

@article{Thomas1990,
abstract = {We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.},
author = {Thomas, Pascal J.},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas; Hardy class; union of complex hyperplanes; subset of a zero variety},
language = {eng},
number = {1},
pages = {135-144},
title = {Subsets of Hardy-class zero sets in the ball.},
url = {http://eudml.org/doc/41119},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Thomas, Pascal J.
TI - Subsets of Hardy-class zero sets in the ball.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 135
EP - 144
AB - We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.
LA - eng
KW - Funciones holomorfas; Hardy class; union of complex hyperplanes; subset of a zero variety
UR - http://eudml.org/doc/41119
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.