Let
where
for some
Also, we give integral representation of the form
Révisé le :
Accepté le :
Publié le :
Mots-clés : Bergman space, multiplication operator, reducing subspace, Toeplitz operator
Shubham R. Bais 1 ; D. Venku Naidu 1 ; Pinlodi Mohan 1

@article{CRMATH_2023__361_G10_1593_0, author = {Shubham R. Bais and D. Venku Naidu and Pinlodi Mohan}, title = {Integral representation of vertical operators on the {Bergman} space over the upper half-plane}, journal = {Comptes Rendus. Math\'ematique}, pages = {1593--1604}, publisher = {Acad\'emie des sciences, Paris}, volume = {361}, year = {2023}, doi = {10.5802/crmath.477}, language = {en}, }
TY - JOUR AU - Shubham R. Bais AU - D. Venku Naidu AU - Pinlodi Mohan TI - Integral representation of vertical operators on the Bergman space over the upper half-plane JO - Comptes Rendus. Mathématique PY - 2023 SP - 1593 EP - 1604 VL - 361 PB - Académie des sciences, Paris DO - 10.5802/crmath.477 LA - en ID - CRMATH_2023__361_G10_1593_0 ER -
%0 Journal Article %A Shubham R. Bais %A D. Venku Naidu %A Pinlodi Mohan %T Integral representation of vertical operators on the Bergman space over the upper half-plane %J Comptes Rendus. Mathématique %D 2023 %P 1593-1604 %V 361 %I Académie des sciences, Paris %R 10.5802/crmath.477 %G en %F CRMATH_2023__361_G10_1593_0
Shubham R. Bais; D. Venku Naidu; Pinlodi Mohan. Integral representation of vertical operators on the Bergman space over the upper half-plane. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1593-1604. doi : 10.5802/crmath.477. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.477/
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