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dc.contributor.authorRättyä, Jouni
dc.contributor.authorPeláez-Márquez, José Ángel 
dc.date.accessioned2025-01-30T08:10:06Z
dc.date.available2025-01-30T08:10:06Z
dc.date.issued2023
dc.identifier.citationPeláez, J.Á., Rättyä, J. Bergman projection and BMO in hyperbolic metric: improvement of classical result. Math. Z. 305, 19 (2023). https://doi.org/10.1007/s00209-023-03343-1es_ES
dc.identifier.urihttps://hdl.handle.net/10630/37351
dc.description.abstractThe Bergman projection $P_\alpha$, induced by a standard radial weight, is bounded and onto from $L^\infty$ to the Bloch space $\mathcal{B}$. However, $P_\alpha: L^\infty\to \mathcal{B}$ is not a projection. This fact can be emended via the boundedness of the operator $P_\alpha:\BMO_2(\Delta)\to\mathcal{B}$, where $\BMO_2(\Delta)$ is the space of functions of bounded mean oscillation in the Bergman metric. We consider the Bergman projection $P_\omega$ and the space $\BMO_{\omega,p}(\Delta)$ of functions of bounded mean oscillation induced by $1<p<\infty$ and a radial weight $\omega\in\mathcal{M}$. Here $\mathcal{M}$ is a wide class of radial weights defined by means of moments of the weight, and it contains the standard and the exponential-type weights. We describe the weights such that $P_\omega:\BMO_{\omega,p}(\Delta)\to\mathcal{B}$ is bounded. They coincide with the weights for which $P_\omega: L^\infty \to \mathcal{B}$ is bounded and onto. This result seems to be new even for the standard radial weights when $p\ne2$.es_ES
dc.description.sponsorshipThe research was supported in part by La Junta de Andalucía, project FQM210, and Vilho, Yrjö ja Kalle Väisälä foundation of Finnish Academy of Science and Letters.es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAttribution 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFunciones de variable complejaes_ES
dc.subject.otherBergman projectiones_ES
dc.subject.otherBergman metrices_ES
dc.subject.otherBergman spacees_ES
dc.subject.otherBloch spacees_ES
dc.subject.otherDoubling weightes_ES
dc.subject.otherMean oscillationes_ES
dc.titleBergman projection and BMO in hyperbolic metric: improvement of classical result.es_ES
dc.typejournal articlees_ES
dc.centroFacultad de Cienciases_ES
dc.identifier.doi10.1007/s00209-023-03343-1
dc.type.hasVersionVoRes_ES
dc.departamentoAnálisis Matemático, Estadística e Investigación Operativa y Matemática Aplicada
dc.rights.accessRightsopen accesses_ES


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