Result: On a generalized corona problem on the unit disc

Title:
On a generalized corona problem on the unit disc
Authors:
Pau, Jordi
Contributors:
Universitat de Barcelona
Source:
Articles publicats en revistes (Matemàtiques i Informàtica)
Dipòsit Digital de la UB
instname
Universidad de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
Publisher Information:
American Mathematical Society (AMS), 2004.
Publication Year:
2004
Subject Terms:
Hardy spaces, Entire and meromorphic functions, Ideals, maximal ideals, boundaries, 01 natural sciences, \(H^p\)-classes, Àlgebra commutativa, Funcions enteres, Funcions meromorfes, Àlgebres de Banach, Ideals and subalgebras, Spaces of bounded analytic functions of one complex variable, bounded analytic functions, 0101 mathematics, Carleson measures, Commutative Banach algebras, corona problem
Document Type:
Academic journal Article<br />Other literature type
File Description:
application/pdf; application/xml
Language:
English
ISSN:
1088-6826
0002-9939
DOI:
10.1090/s0002-9939-04-07516-1
Access URL:
https://www.ams.org/proc/2005-133-01/S0002-9939-04-07516-1/S0002-9939-04-07516-1.pdf
https://hdl.handle.net/2445/7745
http://hdl.handle.net/2445/7745
https://dialnet.unirioja.es/servlet/articulo?codigo=1084264
https://www.ams.org/journals/proc/2005-133-01/S0002-9939-04-07516-1/
http://diposit.ub.edu/dspace/bitstream/2445/7745/1/554126.pdf
http://diposit.ub.edu/dspace/handle/2445/7745
https://documat.unirioja.es/servlet/articulo?codigo=1084264
Rights:
URL: https://www.ams.org/publications/copyright-and-permissions
Accession Number:
edsair.doi.dedup.....d0b66e109b86fb1a7b4cddd64e6d8d3c
Database:
OpenAIRE

Further Information

Let g , f 1 , … , f n ∈ H ∞ g,f_ 1,\dots ,f_ n\in H^{\infty } . We give a sufficient condition on the size of a function g g in order for it to be in the ideal generated by f 1 , … , f n f_ 1,\dots ,f_ n . In particular, this improves Cegrell’s result on this problem.