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Commuting Toeplitz Operators on Fock-Sobolev Spaces of Negative Orders
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作者 hong rae cho Han-Wool LEE 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第10期1989-2005,共17页
In the setting of Fock-Sobolev spaces of positive orders over the complex plane,Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial,then... In the setting of Fock-Sobolev spaces of positive orders over the complex plane,Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial,then the other must also be radial.In this paper,we extend this result to the Fock-Sobolev space of negative order using the Fock-type space with a confluent hyper geometric function. 展开更多
关键词 Fock–Sobolev spaces commutator of Toeplitz operators Mellin Transform Confluent Hypergeometric Function
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Non-isotropic weighted L^p estimates for the -equation on piecewise smooth strictly pseudoconvex domains
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作者 Heungju AHN hong rae cho Jong-Do PARK 《Science China Mathematics》 SCIE 2008年第12期2161-2171,共11页
In this paper we obtain non-isotropic weighted Lp estimates with the boundary distance weight function for the-equation on piecewise smooth strictly pseudoconvex domains under a hypoth- esis of complex transversality ... In this paper we obtain non-isotropic weighted Lp estimates with the boundary distance weight function for the-equation on piecewise smooth strictly pseudoconvex domains under a hypoth- esis of complex transversality in Cn using the explicit formula of solutions by Berndtsson-Andersson. 展开更多
关键词 non-isotropic norm Cauchy-Riemann EQUATION PIECEWISE strictly PSEUDOCONVEX domain
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