GHOSH, Gargi and E K NARAYANAN. Toeplitz operators on the weighted Bergman spaces of quotient domains. Bulletin des Sciences Mathématiques. Amsterdam, Netherlands: Elsevier, 2023, vol. 188, november, p. "103340-1"-"103340-29", 29 pp. ISSN 0007-4497. Available from: https://dx.doi.org/10.1016/j.bulsci.2023.103340. |
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@article{78325, author = {Ghosh, Gargi and Narayanan, E K}, article_location = {Amsterdam, Netherlands}, article_number = {november}, doi = {http://dx.doi.org/10.1016/j.bulsci.2023.103340}, keywords = {Toeplitz operator; Pseudorelfection group; Quotient domain; Weighted Bergman space}, language = {eng}, issn = {0007-4497}, journal = {Bulletin des Sciences Mathématiques}, title = {Toeplitz operators on the weighted Bergman spaces of quotient domains}, url = {https://www.sciencedirect.com/science/article/pii/S0007449723001148}, volume = {188}, year = {2023} }
TY - JOUR ID - 78325 AU - Ghosh, Gargi - Narayanan, E K PY - 2023 TI - Toeplitz operators on the weighted Bergman spaces of quotient domains JF - Bulletin des Sciences Mathématiques VL - 188 IS - november SP - "103340-1"-"103340-29" EP - "103340-1"-"103340-29" PB - Elsevier SN - 00074497 KW - Toeplitz operator KW - Pseudorelfection group KW - Quotient domain KW - Weighted Bergman space UR - https://www.sciencedirect.com/science/article/pii/S0007449723001148 N2 - Let G be a finite pseudoreflection group and omega subset of Cd be a bounded domain which is a G-space. We establish identities involving Toeplitz operators on the weighted Bergman spaces of omega and omega/G using invariant theory and representation theory of G. This, in turn, provides techniques to study algebraic properties of Toeplitz operators on the weighted Bergman space on omega/G. We specialize on the generalized zero-product problem and characterization of commuting pairs of Toeplitz operators. As a consequence, more intricate results on Toeplitz operators on the weighted Bergman spaces on some specific quotient domains (namely symmetrized polydisc, monomial polyhedron, Rudin's domain) have been obtained. ER -
GHOSH, Gargi and E K NARAYANAN. Toeplitz operators on the weighted Bergman spaces of quotient domains. \textit{Bulletin des Sciences Mathématiques}. Amsterdam, Netherlands: Elsevier, 2023, vol.~188, november, p.~''103340-1''-''103340-29'', 29 pp. ISSN~0007-4497. Available from: https://dx.doi.org/10.1016/j.bulsci.2023.103340.
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