Bloch Functions and Bekollé-Bonami Weights

dc.contributor.author
Limani, A
dc.contributor.author
Nicolau, A.
dc.date.accessioned
2023-11-14T09:54:54Z
dc.date.accessioned
2024-09-19T14:35:03Z
dc.date.available
2023-11-14T09:54:54Z
dc.date.available
2024-09-19T14:35:03Z
dc.date.issued
2023-10-01
dc.identifier.uri
http://hdl.handle.net/2072/537045
dc.description.abstract
We study some analogues of well-known relationships between Muckenhoupt weights and BMO in the setting of Bekollé-Bonami weights. For Bekollé-Bonami weights of bounded hyperbolic oscillation, distance formulas of Garnett and Jones type in the context of BMO on the unit disc and hyperbolic Lipschitz functions are obtained. We provide a counterexample to a recent conjecture, which suggests a certain weight condition for characterizing the closure of bounded analytic functions in the Bloch space. Finally, we include some applications to the spectrum of Cesaró operators on the Bergman spaces. © Indiana University Mathematics Journal.
eng
dc.description.sponsorship
The first author is supported by the Knut & Alice Wallenberg Foundation (grant no. KAW 2021.0294). The second author is supported in part by the Generalitat de Catalunya (grant no. 2021 SGR 000 71), the Spanish Ministerio de Ciencia e Innovación (project no. PID2021-123151NB-I00), and the Spanish Research Agency (Maria de Maeztu CEX2020-001084-M).
dc.format.extent
27 p.
cat
dc.language.iso
eng
cat
dc.publisher
Department of Mathematics, Indiana University
cat
dc.relation.ispartof
Indiana University Mathematics Journal
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Bloch functions, Bekollé-Bonami Weights, Mathematics
cat
dc.title
Bloch Functions and Bekollé-Bonami Weights
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.embargo.terms
cap
cat
dc.identifier.doi
10.1512/iumj.2023.72.9279
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess


Documents

BlochFunctions.pdf

347.6Kb PDF

Aquest element apareix en la col·lecció o col·leccions següent(s)

CRM Articles [713]