Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/184095
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cascante, Ma. Carme (Maria Carme) | - |
dc.contributor.author | Fàbrega Casamitjana, Joan | - |
dc.contributor.author | Pascuas Tijero, Daniel | - |
dc.date.accessioned | 2022-03-14T11:24:23Z | - |
dc.date.available | 2022-03-14T11:24:23Z | - |
dc.date.issued | 2021-12 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/2445/184095 | - |
dc.description.abstract | By means of Muckenhoupt type conditions, we characterize the weights $\omega$ on $\C$ such that the Bergman projection of $F^{2,\ell}_{\alpha}=H(\C)\cap L^2(\C,e^{-\frac{\alpha}2|z|^{2\ell}})$, $\alpha>0$, $\ell>1$, is bounded on $L^p(\C,e^{-\frac{\alpha p}2|z|^{2\ell}}\omega(z))$, for $1<p<\infty$. We also obtain explicit representation integral formulas for functions in the weighted Bergman spaces $A^p(\omega)=H(\C)\cap L^p(\omega)$. Finally, we check the validity of the so called Sarason conjecture about the boundedness of products of certain Toeplitz operators on the spaces $F^{p,\ell}_\alpha=H(\C)\cap L^p(\C,e^{-\frac{\alpha p}2|z|^{2\ell}})$. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1016/j.jmaa.2021.125481 | - |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 2021, vol. 504, p. 125481 | - |
dc.relation.uri | https://doi.org/10.1016/j.jmaa.2021.125481 | - |
dc.rights | cc-by-nc-nd (c) Cascante, C et al., 2021 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Representacions integrals | - |
dc.subject.classification | Nuclis de Bergman | - |
dc.subject.classification | Operadors de Toeplitz | - |
dc.subject.other | Integral representations | - |
dc.subject.other | Bergman kernel functions | - |
dc.subject.other | Toeplitz operators | - |
dc.title | Muckenhoupt type weights and Berezin formulas for Bergman spaces | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 713206 | - |
dc.date.updated | 2022-03-14T11:24:23Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
713206.pdf | 538.29 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License