[Les symboles verticaux, opérateurs de Toeplitz sur les espaces pondérés de Bergman sur le demi-plan supérieur et fonctions à oscillation très lente]
En étendant le résultat récent de Herrera Yañez, Maximenko et Vasilevski, nous allons proposer une nouvelle étape dans lʼanalyse structurelle des algèbres générées par les opérateurs de Toeplitz agissant sur les espaces pondérés de Bergman sur le demi-plan supérieur. Nous allons montrer que lʼensemble des fonctions « spectrales » correspondant aux opérateurs de Toeplitz à symboles bornés verticaux est dense dans la
Extending a recent result of Herrera Yañez, Maximenko and Vasilevski, we provide a further step in the structural analysis of algebras generated by Toeplitz operators on weighted Bergman spaces over the upper half-plane. We show that the set of “spectral” functions corresponding to Toeplitz operators generated by bounded vertical symbols is dense in the
Accepté le :
Publié le :
@article{CRMATH_2014__352_2_129_0, author = {Herrera Ya\~nez, Crispin and Hutn{\'\i}k, Ondrej and Maximenko, Egor A.}, title = {Vertical symbols, {Toeplitz} operators on weighted {Bergman} spaces over the upper half-plane and very slowly oscillating functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {129--132}, publisher = {Elsevier}, volume = {352}, number = {2}, year = {2014}, doi = {10.1016/j.crma.2013.12.004}, language = {en}, url = {https://www.numdam.org/articles/10.1016/j.crma.2013.12.004/} }
TY - JOUR AU - Herrera Yañez, Crispin AU - Hutník, Ondrej AU - Maximenko, Egor A. TI - Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions JO - Comptes Rendus. Mathématique PY - 2014 SP - 129 EP - 132 VL - 352 IS - 2 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2013.12.004/ DO - 10.1016/j.crma.2013.12.004 LA - en ID - CRMATH_2014__352_2_129_0 ER -
%0 Journal Article %A Herrera Yañez, Crispin %A Hutník, Ondrej %A Maximenko, Egor A. %T Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions %J Comptes Rendus. Mathématique %D 2014 %P 129-132 %V 352 %N 2 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2013.12.004/ %R 10.1016/j.crma.2013.12.004 %G en %F CRMATH_2014__352_2_129_0
Herrera Yañez, Crispin; Hutník, Ondrej; Maximenko, Egor A. Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions. Comptes Rendus. Mathématique, Tome 352 (2014) no. 2, pp. 129-132. doi : 10.1016/j.crma.2013.12.004. https://www.numdam.org/articles/10.1016/j.crma.2013.12.004/
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